Question

Calculate the bionomial coefficient 5C2

Answer 1

d

Explanation:

using the definition

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

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

with n = 5 and r = 2 , then

5
`C_(2)`

=
`(5!)/(2!(5-2)!)`

=
`(5!)/(2!(3!))` ← cancel 3! on numerator/ denominator

=
`(5(4))/(2(1))`

=
`(20)/(2)`

= 10