A committee has 5 men and 6 women. What are the number of ways of selecting a group of eight persons?

One Answer on this Question

1. The number of ways of selecting a group of eight is
   5 men and 3 women=5C5​×6C3​ =20
   4 men and 4 women=5C4​×6C4​ =75
   3 men and 5 women=5C3​×6C5​=60
   2 men and 6 women=5C2​×6C6​=10
   Thus the total possible cases is 20+75+60+10=165.

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