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  • In how many ways can 3 different prizes be awarded to 5 different contestants, with each contestant eligible to win any number of prizes?  Option:

In how many ways can 3 different prizes be awarded to 5 different contestants, with each contestant eligible to win any number of prizes?

 

Option: 1

140


Option: 2

445


Option: 3

325


Option: 4

125


Answers (1)

best_answer

Each contestant can win any number of prizes, which means that there are no restrictions on how the prizes are distributed among the contestants. 

For each prize, there are 5 possible contestants who can win it. 

Thus, the number of ways to award 3 different prizes to 5 different contestants is given by,

5 \times 5 \times 5=125

Therefore, there are 125 ways to award 3 different prizes to 5 different contestants, with each contestant eligible to win any number of prizes.

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Nehul

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