Question

Calculate the value of the following factorial expressions.

a. 7! / 6!
b. 10! / 6!
c. 8! / 5!
d. 12! / 10!

Answer 1

(a) 7

(b) 5040

(c) 336

(d) 132

Explanation:

We have to calculate the value of given expression

(a)
`(7!)/(6!)`

`(7!)/(6!)=(7* 6!)/(6!)=7`

(b)
`(10!)/(6!)=(10* 9* 8* 7* 6!)/(6!)=10* 9* 8* 7=5040`

(c)
`(8!)/(5!)=( 8* 7* 6* 5!)/(5!)= 8* 7* 6=336`

(d)
`(12!)/(10!)=( 12* 11* 10!)/(10!!)= 12* 11=132`