Respuesta :
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 : [tex]^nC_r=\frac{n!}{r!(n-r)!}[/tex]
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 = [tex]^8C_4[/tex]
= [tex]\frac{8!}{4!(8-4)!}[/tex]
= [tex]\frac{8!}{4!4!}[/tex]
= [tex]70[/tex]
Hence there are 70 ways of choosing 4 members out of 8 to send to competition