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Question

Mathematics Question on Permutations

The number of ways in which first, second and third prizes can be given to 55 competitors is

A

10

B

60

C

15

D

125

Answer

60

Explanation

Solution

First prize can be given in 55 ways. Then second prize can be given in 44 ways and the third prize in 33 ways (Since a competitior cannot get two prizes) and hence the no. of ways. = 5×4×3=605 \times 4 \times 3 = 60 ways