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Question

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


Solution

(a) 60
Three persons can take 5 seats in 5C3 ways. Moreover, 3 persons can sit in 3! ways.
∴ Required number of ways =  5C3× 3! = 10×6 = 60

Mathematics
RD Sharma XI (2015)
Standard XI

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