Tue September 11, 2012 By:

In how many different ways the following 5 prizes be distributed among 10 students? First and second in mathematics;first and second in physics and first in hindi.

Expert Reply
Fri September 14, 2012

Three first prizes can be given in 103 ways since first prize of mathematics can be given in 10 ways, similarly first prize in physics and hindi can be given in 10 ways each.

(Note that a student can stand first in all the three subjects).

Then two second prizes can be given in 92 ways since a student cannot get both first and second prize.

Hence, required number of ways = 103 x 92 = 81000

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