$A$ 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?

  • A
    Total ways: $10$,Committees with $1$ man and $2$ women: $6$
  • B
    Total ways: $10$,Committees with $1$ man and $2$ women: $5$
  • C
    Total ways: $8$,Committees with $1$ man and $2$ women: $6$
  • D
    Total ways: $12$,Committees with $1$ man and $2$ women: $4$

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