Question

Calculate the value of the following factorial expressions.
a. 7! / 6!
b. 10! / 6!
c. 8! / 5!
d. 12! / 10!

Answer 1

Answer:

(a) 7

(b) 5040

(c) 336

(d) 132                          

Step-by-step explanation:

We have to calculate the value of given expression

(a) $\frac{7!}{6!}$

$\frac{7!}{6!}=\frac{7\times 6!}{6!}=7$

(b) $\frac{10!}{6!}=\frac{10\times 9\times 8\times 7\times 6!}{6!}=10\times 9\times 8\times 7=5040$

(c) $\frac{8!}{5!}=\frac{ 8\times 7\times 6\times 5!}{5!}= 8\times 7\times 6=336$

(d) $\frac{12!}{10!}=\frac{ 12\times 11\times 10!}{10!!}= 12\times 11=132$