Q. 105.0( 2 Votes )

Ten students are

Answer :

To find: number of ways of winning the first three prizes.


The first price can go to any of the 10 students.


The second price can go to any of the remaining 9 students.


The third price can go to any of the remaining 8 students.


Formula:


Number of permutations of n distinct objects among r different places, where repetition is not allowed, is


P(n,r) = n!/(n-r)!


Therefore, a permutation of 10 different objects in 3 places is


P(10,3) =


= = = 720.


Therefore, there are 10 × 9 × 8 = 720 ways to win first three prizes.


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