Question

There are 8 people on the debate team. In how many ways can the coach choose 4 members to send to competition?

Answer 1

he can either send one half or the other half.

Answer 2

70

Explanation:

Given : There are 8 people on the debate team.

To Find: In how many ways can the coach choose 4 members to send to competition?

Solution:

We will use combination over here

Formula :
`^nC_r=(n!)/(r!(n-r)!)`

Now There are 8 people on the debate team and the coach have to choose 4

So, n = 8

r = 4

So, number of ways of choosing 4 people out of 8 =
`^8C_4`

=
`(8!)/(4!(8-4)!)`

=
`(8!)/(4!4!)`

=
`70`

Hence there are 70 ways of choosing 4 members out of 8 to send to competition