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Question

Three persons enter a railway compartment. If there are 5 seats a vacant, in how many ways can they take these seats ?



A

60

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B

20

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C

15

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D

125

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Solution

The correct option is D

60


Three persons can take 5 seats 5C3 ways. Morever, 3 persons can sit in 3! ways.

Required number of ways = 5C3×3!

=10×6=60


Mathematics
RD Sharma
Standard XI

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