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$A$ committee of $3$ persons is to be constituted from a group of $2$ men and $3$ women. In how many ways can this be done? How many of these committees would consist of $1$ man and $2$ women?
- ATotal ways: $10$,Committees with $1$ man and $2$ women: $6$
- BTotal ways: $10$,Committees with $1$ man and $2$ women: $5$
- CTotal ways: $8$,Committees with $1$ man and $2$ women: $6$
- DTotal ways: $12$,Committees with $1$ man and $2$ women: $4$
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