A committee of three person is to be constituted from a group of two men and three women in how many ways can this be done. how many of these committee would consists of 1 men and 2 women.
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Given:
A committee of three person is to be constituted from a group of two men and three women in how many ways can this be done.
To find:
How many of these committee would consists of 1 men and 2 women.
Solution:
From given, we have
A committee of three person is to be constituted from a group of two men and three women in how many ways can this be done.
We are supposed to select a committee of 5 people taken 3 at a time
The required number of ways = nCr
= 5C3
= 10 ways
Total of 2 men and 3 women
Selection: 1 man from 2 men
2C1 = 2
Selection: 2 women from 3 women
3C2 = 3
Therefore, the number of ways to select 1 men and 2 women is
= 2 × 3 = 6 ways
In 6 ways committee would consists of 1 men and 2 women.
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