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

Answer:

70

Step-by-step 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 : $^nC_r=\frac{n!}{r!(n-r)!}$

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 = $^8C_4$

                                                                                    = $\frac{8!}{4!(8-4)!}$  

                                                                                    = $\frac{8!}{4!4!}$  

                                                                                    = $70$  

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

Answer 2

he can either send one half or the other half.