Question

Evaluate C(3, 3)

1
6
24

Answer 1

1

Explanation:

Using the definition

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

where n! = n(n - 1)(n - 2) × 3 × 2 × 1

and 0! = 1

3
`C_(3)`

=
`(3!)/(3!(3 - 3)!)`

=
`(3!)/(3!(0!))`

=
`(3!)/(3!)` = 1