There are 117600 ways for the distribution of the prizes.
According to the statement
We have given that the number of people enter in a contest is 50.
And
Number of prizes given identically is 3.
And we have to find that the by how many ways can be prizes be awarded.
So,
Provided that no one can receive more than one prize,
It means The first prize can be given to any of the 50 people, the second to any of the remaining 49, and the third to the remaining of the 48,
Here we use Permutation
Then the possibilities become is
50*49*48= 117600
So there are above written ways to distribute the prizes.
There are 117600 ways for the distribution of the prizes.
Learn more about Permutation here https://brainly.com/question/4658834
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