Three persons enter a railway compartment. If there are 5 seats vacant – InterviewSolution

InterviewSolution

1.

Three persons enter a railway compartment. If there are 5 seats vacant, in how many ways can they take these seats? A. 60 B. 20 C. 15 D. 125

Answer»

Option : (A)

Three persons can take 5 seats in ⁵C₃ ways.

Also,

3 persons can sit in 3! ways.

∴ Required number of ways = ⁵C₃ x 3!

= 10 x 6

= 60

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Three persons enter a railway compartment. If there are 5 seats vacant, in how many ways can they take these seats? A. 60 B. 20 C. 15 D. 125