Permutation and CombinationHard

Question

A train is going from London to Cambridge stops at 12 intermediate stations. 75 persons enter the train during the journey with 75 different tickets of the same class. Number of different sets of tickets they may be holding is:

Options

A.78C3
B.91C75
C.84C75
D.none

Solution

Total no. of different tickets is
12 + 11 + 10 + ......+ 1 = 78
Hence required no. = 78C75 = 78C3

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