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There are 6 men and 7 women. In how many ways a committee of 4 members can be made such that a particular woman is always included.
  • a)
    180
  • b)
    120
  • c)
    240
  • d)
    220
  • e)
    260
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
There are 6 men and 7 women. In how many ways a committee of 4 members...
D) 220
Explanation: There are total 13 people, a particular woman is to be included, so now 12 people are left to chosen from and 3 members to be chosen. So ways are 12C3 .
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Most Upvoted Answer
There are 6 men and 7 women. In how many ways a committee of 4 members...
D) 220
Explanation: There are total 13 people, a particular woman is to be included, so now 12 people are left to chosen from and 3 members to be chosen. So ways are 12C3 .
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Community Answer
There are 6 men and 7 women. In how many ways a committee of 4 members...
Solution:
We need to select a committee of 4 members such that a particular woman is always included. Let's call this woman "W".

We can choose W in 1 way.
We need to choose 3 more members from the remaining 12 people (5 men and 6 women). We can do this in 12C3 ways.
Total number of ways = 1 × 12C3 = 220

Therefore, the correct answer is option D) 220.
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There are 6 men and 7 women. In how many ways a committee of 4 members can be made such that a particular woman is always included.a)180b)120c)240d)220e)260Correct answer is option 'D'. Can you explain this answer?
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