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Question 13 Exercise 6.2 @math-11-kpk:sol:unit06
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utions of Question 13 of Exercise 6.2 of Unit 06: Permutation, Combination and Probablity. This is unit of A Te... tan. =====Question 13(i)===== Find the number of permutation of word "Excellence." How many of these permutati... gn} =====Question 13(ii)===== Find the number of permutation of word "Excellence." How many of these permutati... n} =====Question 13(iii)===== Find the number of permutation of word "Excellence." How many of these permutati
Chapter 07: Permutation, Combination and Probability @fsc:fsc_part_1_solutions
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====== Chapter 07: Permutation, Combination and Probability ====== {{ :fsc:fsc_part_1_solutions:fsc-1-chap-07-ptb.jpg?nolink|Chapter 07: Permutation , Combination and Probability}} Notes (Solutions) of Chapter 07: Permutation , Combination and Probability, Text Book of Algeb... mmary==== * Introduction * Exercise 7.1 * Permutation * Exercise 7.2 * Permutation of Things no
Definitions: FSc Part 1 (Mathematics): PTB @fsc-part1-ptb
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b$, if $a, H, b$ are in $H.P$. ===== Chapter 07: Permutation, combination, probability ===== * **Permutation:** An ordering arrangement of $n$ objects is called permutation. * **Circular Permutation:** The permutation of things which can be represe
Chapter 06: Permutation, Combination and Probability @fsc:kpk_fsc_part_1
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====== Chapter 06: Permutation, Combination and Probability ====== Notes of Chapter 06: Permutation, Combination and Probability of "A Textbook of Ma... es. {{gview noreference>:fsc:kpk_fsc_part_1:ch06-permutation-combination-and-probability-fsc1-kpk.pdf}} **{{:fsc:kpk_fsc_part_1:ch06-permutation-combination-and-probability-fsc1-kpk.pdf|Download
FSc Part 1 (KPK Boards) @fsc
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eries|Online view]]** </callout> ===== Chapter 6: Permutation, Combination and Probability ===== === Objectives... using tree diagram. * understand the concept of permutation and know the notation $^nP_r$. * Prove the form... on="fa fa-download"> **{{:fsc:kpk_fsc_part_1:ch06-permutation-combination-and-probability-fsc1-kpk.pdf|Download PDF}}** | **[[:fsc:kpk fsc part 1:chapter 06 Permutation Combination and Probability|Online view]]** </cal
Unit 06: Permutation and Combination @math-11-nbf:sol
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====== Unit 06: Permutation and Combination ====== This is a sixth unit of the book "Model Textbook of Mathemat... this principle using tree diagram. * Define the permutation of $n$ different objects taken $r$ at a time and proof of formula of permutation. * Find out the arrangement of different object
Question 22 and 23, Exercise 6.2 @math-11-nbf:sol:unit06
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of Question 22 and 23 of Exercise 6.2 of Unit 06: Permutation and Combination. This is unit of Model Textbook o... tion 22===== Encrypt the word LAHORE by using the permutation: $(3\quad 4\quad 6\quad 1\quad 5\quad2)$ by label... on 23===== Decrypt the word "TNLUMA" by using the permutation: $(4\quad 6\quad 3\quad 2\quad 1\quad5)$. ** So
Unit 06: Permutation, Combination and Probability (Solutions) @math-11-kpk:sol
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===== Unit 06: Permutation, Combination and Probability (Solutions) ===== This is a sixth unit of the book Mat... le using tree diagram. * Explain the meaning of permutation of $n$ different objects taken $r$ at a time and
A-Course of Mathematics (Paper A & B) @bsc:paper_pattern:sargodha_university
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er of an element of a group. Subgroup. Cyclic and permutation groups. Lagrange’s theorm. Rings and fields. Alge... * Ex 2.2: Subgroup, Cyclic groups * Ex 2.3: Permutation groups, Rings and fields * Ex 2.2: Lagrange’s
Ch 07: Permutation, Combination and Probability: Mathematics FSc Part 1 @fsc:fsc_part_1_solutions:ch07
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====== Ch 07: Permutation, Combination and Probability: Mathematics FSc Part 1 ====== Notes (Solutions) of Chapter 07: Permutation, Combination and Probability, Text Book of Algebr
Question 5 and 6 Exercise 6.2 @math-11-kpk:sol:unit06
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s of Question 5 and 6 of Exercise 6.2 of Unit 06: Permutation, Combination and Probablity. This is unit of A Te... 4 .3 .2=120\quad \text{or}$$ can be found using permutation as: $$^5 P_4=\dfrac{5 !}{5-4} !=120$$ Even Number
Question 9 & 10 Review Exercise 6 @math-11-kpk:sol:unit06
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Question 9 & 10 of Review Exercise 6 of Unit 06: Permutation, Combination and Probablity. This is unit of A Te... ber of ways arranging these digits using repeated permutation as: $$=\dfrac{7 !}{3 ! \cdot 2 !}=420 $$ But we h
Exercise 6.2 (Solutions) @math-11-nbf:sol:unit06
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stion 22.** Encrypt the word LAHORE by using the permutation: $$ \left(\begin{array}{llllll} 3 & 4 & 6 & 1 & 5... ion 23.** Decrypt the word "TNLUMA" by using the permutation: $$ \left(\begin{array}{llllll} 4 & 6 & 3 & 2 &
Question 10 and 11, Exercise 6.2 @math-11-nbf:sol:unit06
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of Question 10 and 11 of Exercise 6.2 of Unit 06: Permutation and Combination. This is unit of Model Textbook o... epetition of $A=2$\\ \begin{align*}\text{possible permutation}&=\dfrac{9!}{2!2!2!}\\ &=\dfrac{362880}{8}\\ &=45
Multiple Choice Questions (MCQs) @fsc-part1-kpk
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* (B) combination * (C) series * (D) permutation * The equation $ax^2+bx+c=0$ will be quadratic
Important Questions: HSSC-I @fsc-part1-ptb
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Multiple Choice Questions (MCQs) @math-11-kpk
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Mathematical Statistics by Ms. Iqra Liaqat @notes
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Chapter 02: Groups @bsc:notes_of_mathematical_method
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MCQs with Answers (FSc/ICS Part 1) @fsc:fsc_part_1_mcqs
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Question 1 and 2 Exercise 6.1 @math-11-kpk:sol:unit06
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Question 3 & 4 Exercise 6.1 @math-11-kpk:sol:unit06
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Question 5 Exercise 6.1 @math-11-kpk:sol:unit06
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Question 4 Exercise 6.1 @math-11-kpk:sol:unit06
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Question 5 Exercise 6.1 @math-11-kpk:sol:unit06
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Question 1 and 2 Exercise 6.2 @math-11-kpk:sol:unit06
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Question 3 and 4 Exercise 6.2 @math-11-kpk:sol:unit06
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Question 7 and 8 Exercise 6.2 @math-11-kpk:sol:unit06
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Question 9 Exercise 6.2 @math-11-kpk:sol:unit06
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Question 10 Exercise 6.2 @math-11-kpk:sol:unit06
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Question 11 Exercise 6.2 @math-11-kpk:sol:unit06
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Question 12 Exercise 6.2 @math-11-kpk:sol:unit06
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Question 14 and 15 Exercise 6.2 @math-11-kpk:sol:unit06
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Question 1 Exercise 6.3 @math-11-kpk:sol:unit06
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Question 2 Exercise 6.3 @math-11-kpk:sol:unit06
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Question 3 Exercise 6.3 @math-11-kpk:sol:unit06
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Question 4 Exercise 6.3 @math-11-kpk:sol:unit06
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Question 5 and 6 Exercise 6.3 @math-11-kpk:sol:unit06
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Question 7 and 8 Exercise 6.3 @math-11-kpk:sol:unit06
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Question 9 Exercise 6.3 @math-11-kpk:sol:unit06
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Question 9 Exercise 6.3 @math-11-kpk:sol:unit06
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Question 1 Exercise 6.4 @math-11-kpk:sol:unit06
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Question 2 Exercise 6.4 @math-11-kpk:sol:unit06
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Question 3 Exercise 6.4 @math-11-kpk:sol:unit06
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Question 4 Exercise 6.4 @math-11-kpk:sol:unit06
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Question 5 Exercise 6.4 @math-11-kpk:sol:unit06
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Question 6 Exercise 6.4 @math-11-kpk:sol:unit06
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Question 7 Exercise 6.4 @math-11-kpk:sol:unit06
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Question 1 and 2 Exercise 6.5 @math-11-kpk:sol:unit06
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Question 3 and 4 Exercise 6.5 @math-11-kpk:sol:unit06
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Question 5 and 6 Exercise 6.5 @math-11-kpk:sol:unit06
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Question 7 Exercise 6.5 @math-11-kpk:sol:unit06
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Question 8 Exercise 6.5 @math-11-kpk:sol:unit06
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Question 9 Exercise 6.5 @math-11-kpk:sol:unit06
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Question 10 Exercise 6.5 @math-11-kpk:sol:unit06
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Question 1 Review Exercise 6 @math-11-kpk:sol:unit06
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Question 2 Review Exercise 6 @math-11-kpk:sol:unit06
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Question 3 & 4 Review Exercise 6 @math-11-kpk:sol:unit06
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Question 5 & 6 Review Exercise 6 @math-11-kpk:sol:unit06
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Question 7 & 8 Review Exercise 6 @math-11-kpk:sol:unit06
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Question 11 Review Exercise 6 @math-11-kpk:sol:unit06
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Question 1 Exercise 7.1 @math-11-kpk:sol:unit07
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Question 2 Exercise 7.1 @math-11-kpk:sol:unit07
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Question 3 Exercise 7.1 @math-11-kpk:sol:unit07
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Question 4 Exercise 7.1 @math-11-kpk:sol:unit07
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Question 5 Exercise 7.1 @math-11-kpk:sol:unit07
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Question 6 Exercise 7.1 @math-11-kpk:sol:unit07
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Question 7 Exercise 7.1 @math-11-kpk:sol:unit07
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Question 8 Exercise 7.1 @math-11-kpk:sol:unit07
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Question 9 Exercise 7.1 @math-11-kpk:sol:unit07
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Question 10 Exercise 7.1 @math-11-kpk:sol:unit07
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Question 11 Exercise 7.1 @math-11-kpk:sol:unit07
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Question 12 Exercise 7.1 @math-11-kpk:sol:unit07
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Question 13 Exercise 7.1 @math-11-kpk:sol:unit07
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Question 14 Exercise 7.1 @math-11-kpk:sol:unit07
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Question 15 Exercise 7.1 @math-11-kpk:sol:unit07
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Question 1 Exercise 7.2 @math-11-kpk:sol:unit07
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Question 2 Exercise 7.2 @math-11-kpk:sol:unit07
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Question 3 Exercise 7.2 @math-11-kpk:sol:unit07
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Question 4 Exercise 7.2 @math-11-kpk:sol:unit07
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Question 5 Exercise 7.2 @math-11-kpk:sol:unit07
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Question 6 Exercise 7.2 @math-11-kpk:sol:unit07
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Question 7 Exercise 7.2 @math-11-kpk:sol:unit07
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Question 8 Exercise 7.2 @math-11-kpk:sol:unit07
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Question 9 Exercise 7.2 @math-11-kpk:sol:unit07
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Question 10 Exercise 7.2 @math-11-kpk:sol:unit07
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Question 11 Exercise 7.2 @math-11-kpk:sol:unit07
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Question 1 Exercise 7.3 @math-11-kpk:sol:unit07
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Question 2 Exercise 7.3 @math-11-kpk:sol:unit07
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Question 3 Exercise 7.3 @math-11-kpk:sol:unit07
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Question 4 Exercise 7.3 @math-11-kpk:sol:unit07
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Question 5 and 6 Exercise 7.3 @math-11-kpk:sol:unit07
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Question 7 and 8 Exercise 7.3 @math-11-kpk:sol:unit07
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Question 9 Exercise 7.3 @math-11-kpk:sol:unit07
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Question 10 Exercise 7.3 @math-11-kpk:sol:unit07
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Question 11 Exercise 7.3 @math-11-kpk:sol:unit07
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Question 12 Exercise 7.3 @math-11-kpk:sol:unit07
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Question 13 Exercise 7.3 @math-11-kpk:sol:unit07
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Question 14 Exercise 7.3 @math-11-kpk:sol:unit07
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Question 1 Review Exercise 7 @math-11-kpk:sol:unit07
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Question 2 Review Exercise 7 @math-11-kpk:sol:unit07
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Question 3 & 4 Review Exercise 7 @math-11-kpk:sol:unit07
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Question 5 & 6 Review Exercise 7 @math-11-kpk:sol:unit07
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Question 7 & 8 Review Exercise 7 @math-11-kpk:sol:unit07
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Question 11 Review Exercise 7 @math-11-kpk:sol:unit07
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Question 1, Exercise 6.1 @math-11-nbf:sol:unit06
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Question 2, Exercise 6.1 @math-11-nbf:sol:unit06
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Question 3 and 4, Exercise 6.1 @math-11-nbf:sol:unit06
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Question 5, Exercise 6.1 @math-11-nbf:sol:unit06
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Question 6(i-v), Exercise 6.1 @math-11-nbf:sol:unit06
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Question 6(vi-ix), Exercise 6.1 @math-11-nbf:sol:unit06
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Question 7(i-vi), Exercise 6.1 @math-11-nbf:sol:unit06
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Question 1, Exercise 6.2 @math-11-nbf:sol:unit06
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Question 2, Exercise 6.2 @math-11-nbf:sol:unit06
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Question 3, Exercise 6.2 @math-11-nbf:sol:unit06
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Question 4 and 5, Exercise 6.2 @math-11-nbf:sol:unit06
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Question 6 and 7, Exercise 6.2 @math-11-nbf:sol:unit06
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Question 8 and 9, Exercise 6.2 @math-11-nbf:sol:unit06
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Question 1(i-v), Exercise 6.3 @math-11-nbf:sol:unit06
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Question 1(vi-x), Exercise 6.3 @math-11-nbf:sol:unit06
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Question 2, Exercise 6.3 @math-11-nbf:sol:unit06
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Question 3, Exercise 6.3 @math-11-nbf:sol:unit06
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Question 4, Exercise 6.3 @math-11-nbf:sol:unit06
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Question 5 and 6, Exercise 6.3 @math-11-nbf:sol:unit06
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Question 7 and 8, Exercise 6.3 @math-11-nbf:sol:unit06
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Question 9 and 10, Exercise 6.3 @math-11-nbf:sol:unit06
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Question 1, Review Exercise 6 @math-11-nbf:sol:unit06
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