If a 4-member subcommittee is to be formed from a certain 9-member committee, how many different ...

If a 4-member subcommittee is to be formed from a certain 9-member committee, how many different such subcommittee are possible?

Quiz

Answer/Solution

126

Steps/Work

Another way:
1st member can be selected in 9 ways
2nd can be selected in 8 ways
3rd can be selected in 7 ways
4th can be selected in 6 ways
So total ways : 3024
But to avoid the similar scenarios 3024/4!=126
D