The number of ways of choosing a committee from four men and six women so that the committee includes at…

The number of ways of choosing a committee from four men and six women so that the committee includes at least two men and exactly twice as many women as men is
  1. 90
  2. 92
  3. 94
  4. 96

Solution

4 men, 6 women

All possible cases for committee are (2 men, 4 women), (3 men, 6 women)

Total ways =4C2·6C4+4C3·6C6

=6×15+4×1

=94

Asked in: AP EAMCET 2020 (23 Sep Shift 1)

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