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Question

Question: The number of ways in which first, second and third prizes can be given to 5 competitors is....

The number of ways in which first, second and third prizes can be given to 5 competitors is.

A

10

B

60

C

15

D

125

Answer

60

Explanation

Solution

First prize can be given in 5 ways. Then second prize can be given in 4 ways and the third prize in 3 ways

(Since a competitior cannot get two prizes)

and hence the no. of ways =5×4×3=60= 5 \times 4 \times 3 = 60 ways.