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- Exercise 6.1 (Solutions)
- ight. $$ </callout> **Question 1.** Evaluate the following:\\ (i) $10!$ (ii) $\dfrac{12!}{7! 3! 2!}$ (iii) $... Solution: Question 1]] **Question 2.** Write the following in factorial form:\\ (i) 14.13 .12 .11 (ii) 1.3.5... olution: Question 2 ]] **Question 3.** Prove the following:\\ (i) $\frac{1}{5!}+\frac{3}{6!}+\frac{1}{7!}=\f... ]] **Question 5.** Find the values of $n$ in the following.\\ (i) $\frac{n}{(n-4)!}=\frac{3.3!}{(n-3)!}$ (ii
- Exercise 6.2 (Solutions)
- \right. $$ </callout> **Question 1.** Prove the following for $n \in \mathbb{N}$.\\ (i) ${ }^n P_r=\frac{n!... *Question 21.** Make all the permutations of the following words WHY, SAD, TWO, MADE\\ [[math-11-nbf:sol:uni
- Exercise 6.3 (Solutions)
- torial function. **Question 1(i-v).** Prove the following for $n \in \mathbb{N}$.\\ (i) ${ }^{n} C_{r}=\fra... uestion 1(i-v)]] **Question 1(vi-x).** Prove the following for $n \in \mathbb{N}$.\\ (vi) ${ }^{2 n} \mathrm
- Question 20 and 21, Exercise 6.2
- Question 21===== Make all the permutations of the following words:\\ WHY, SAD, TWO, MADE ** Solution. ** Nu