- #1

- 6,223

- 31

**[SOLVED] Need quick help with these perms/coms questions..check answers**

## Homework Statement

A cricket selection committee of 4 members is to be chosen from 5 former batsmen and 3 former bowlers.

In how many ways can this committee be selected so that the committee includes at least

1)One former batsman

2) One batsman and one bowler.

## Homework Equations

## The Attempt at a Solution

B=Batsman

b=bowlers

1)At least one former batsman

1B 3b=5C1*3C3=5

2B 2b=5C2*3C2=30

3B 1b=5C3*3C1=30

4B 0b=5C4=5

total=70 ways

2) no. of way to select without any restriction=8C4=70

so for at least one B and one b, it is 70-5=65

Also,since in part 1,those are the only ways to make the selection...does that mean I could have just said 8C4 instead of writing out all the ways?