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There are 8 men and 7 women. In how many ways a group of 5 people can be made such that the particular woman is always to be included?
- a)860
- b)1262
- c)1001
- d)1768
- e)984
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
There are 8 men and 7 women. In how many ways a group of 5 people can ...
C) 1001
Explanation: Total 15 people, and a particular woman is to be taken to form a group of 5, so choice is to be done from 14 people of 4 people Ways are 14C4 .
Explanation: Total 15 people, and a particular woman is to be taken to form a group of 5, so choice is to be done from 14 people of 4 people Ways are 14C4 .
Most Upvoted Answer
There are 8 men and 7 women. In how many ways a group of 5 people can ...
Given:
- 8 men and 7 women
- a group of 5 people to be made
- a particular woman is always to be included
To Find: number of ways of making the group
Approach:
- The particular woman is already included, so we need to select 4 more people from the remaining 14 people (7 women and 8 men)
- Use combination formula to find the number of ways of selecting 4 people from 14 people
Solution:
Number of ways of selecting 4 people from 14 people = 14C4 = (14!)/(4!*(14-4)!) = 1001
Therefore, the correct option is (c) 1001.
- 8 men and 7 women
- a group of 5 people to be made
- a particular woman is always to be included
To Find: number of ways of making the group
Approach:
- The particular woman is already included, so we need to select 4 more people from the remaining 14 people (7 women and 8 men)
- Use combination formula to find the number of ways of selecting 4 people from 14 people
Solution:
Number of ways of selecting 4 people from 14 people = 14C4 = (14!)/(4!*(14-4)!) = 1001
Therefore, the correct option is (c) 1001.
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Community Answer
There are 8 men and 7 women. In how many ways a group of 5 people can ...
C) 1001
Explanation: Total 15 people, and a particular woman is to be taken to form a group of 5, so choice is to be done from 14 people of 4 people Ways are 14C4 .
Explanation: Total 15 people, and a particular woman is to be taken to form a group of 5, so choice is to be done from 14 people of 4 people Ways are 14C4 .
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There are 8 men and 7 women. In how many ways a group of 5 people can be made such that the particular woman is always to be included?a)860b)1262c)1001d)1768e)984Correct answer is option 'C'. Can you explain this answer?
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