A committee of three 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?
Total number of persons = 2 + 3 = 5
Now, committee consist of 3 persons.
Therefore, total number of ways = 5C3
= 5 × 2 = 10
Now,
When 1 man is selected, total ways = 2C1
When 2 women are selected, total ways = 3C2
Total number of ways when 1 man and 2 women are selected = 2C1 × 3C2 = 2 × 3 = 6
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