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Eamcet Mathematics
Algebra Permutations And Combinations
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Q.
The number of way to sit 3 men and 2 women in a bus such that total number of sitted men and women on each side is 3
A.
5!
B.
6
C
5
× 5!
C.
6! ×
6
P
5
D.
5! +
6
C
5
E.
None of the above
View Answer
Correct choice: B
Explanation:
3 men and 2 women equal to 5. A group of 5 members make 5! permutation with each other.
∴ The number of ways to sit 5 members = 5!
6 Places are filled by 5 members by
6
C
3
ways
∴ The total number of ways to sit 5 members on 6 seats of a bus =
6
C
5
× 5!.
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