Question

Simplify the following expression.

4
₃ 4
O A. 12
OB.
1
64
OC.
1
12
OD. 64
Help don’t very much understand

Answer 1

1

Explanation:

Using the definition

n
`C_(r)` =
`(n!)/(r!(n-r)!)`

where n! = n(n - 1)(n - 2)......

Thus

4
`C_(4)`

=
`(4!)/(4!(4-4)!)` ← cancel 4! on numerator and denominator

=
`(1)/(0!)` { 0! = 1 ]

=
`(1)/(1)`

= 1