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How many ways can a foursome of 2 men and 2 women be selected from 10 men and 12 women in a golf club?

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The many ways can a foursome of 2 men and 2 women be selected from 10 men and 12 women in a golf club is 9900.

What are the approaches?

Since every 2 guys and three ladies are to be decided on from 10 guys and 12 ladies, the variety of methods wherein the choice may be accomplished is the made from each method of selection.

  1. Hence, the variety of methods to pick out 2 guys and a pair of ladies =45*220 Similarly, three ladies may be decided on from 12 ladies in 12 C three methods .=9900
  2. We should pick out 2 guys and three ladies from 10 guys and 12 ladies.12 C three =220 We can pick out 2 guys from 10 guys in 10 C 2 methods 10 C5 =45.

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