A committee of 10 members has to be formed from 15 men and 7 women. In how
many ways can this be done when the committee consists of at least 6 women ?
od 16
Answers
Number of ways = 10010
Step-by-step explanation:Given:A committee of 10 members is to be formed from 15 men and 7 women.
To Find:
Number of ways the committee can be formed if it consists of atleast 6 womenSolution:
By given the committee must not exceed 10 members and should contain atleast 6 women.
Thus the committee can be selected in the following ways:
6 women and 4 men or 7 women and 3 menThis can be represented
455⟹7×1365+4559555+455⟹9555+455
10010⟹10010
10010⟹10010Hence the committee can be formed in 10010 ways.
Answer:
Given:
- A committee of 10 members is to be formed from 15 men and 7 women.
To Find:
- Number of ways the committee can be formed if it consists of atleast 6 women
Solution:
By given the committee must not exceed 10 members and should contain atleast 6 women.
Thus the committee can be selected in the following ways:
6 women and 4 men or 7 women and 3 men
This can be represented as,
We know that,
Therefore we get,
- Hence the committee can be formed in 10010 ways.