Answer: 2380
Step-by-step explanation:
Given : Number of people in the club = 17
Since here order of choosing people doesn't matter , then to find the number of ways can a group of four members be selected to attend a conference is given by using combinations.
The combinations of selecting n things taking r at a time is given by :-
[tex]C(n,r)=\dfrac{n!}{r!(n-r)!}[/tex]
Then , the combinations of selecting 17 things taking 4 at a time is given by :-
[tex]C(17,4)=\dfrac{17!}{4!(17-4)!}\\\\=\dfrac{17\times16\timeas15\times14\times13!}{13!}=2380[/tex]
Hence, there are 2380 ways to select four members to attend a conference.
