Question

If the club decides to send 5 members to the convention, how many different groups of 5 are possible? there are 10 members

Answer 1

For the 1st member, you have 10 possible choices.

For the 2nd, you have 9 remaining choices.

For the 3rd: 8.

So all possible combinations would be:
10*9*8*7*6 = 10! - 5! = 30,240 combinations.