The number of ways to award the prizes is 5,527,2000
Permutations:
Permutations are the number of different ways of arranging objects in a definite order. The symbol ⁿPₓ is used to denote the number of permutations of n objects, taken x objects at a time.
Here we have,
Fifty tickets numbered 1, 2, 3, ... 50 are sold to 50 different people for drawing
Five prizes are awarded including the grand prize (a trip to the FIFA world soccer championship with two seats )
No person can get more than one prize
As we know Number of permutations of n things taking m at
a time is given by ⁿPₓ = n!/(n-x)!
The number of ways of choosing 4 prizes from 50 different people
=> ⁵⁰P₄ = 50!/(50-4)!
= 50 × 49× 48× 47× 46! /46!
= 50 × 49× 48× 47 = 5,527,2000
Learn more about Permutations at
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