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Home » 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?
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?
Rs aggarwal Maths CBSE Class 11 Chapter 9 Exercise 9B
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?

Answer : 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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