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Fifty people enter a contest in which three identical prizes will be awarded. in how many different ways can the prizes be awarded to the entrants? explain how you would solve the problem.

User Taria
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2 Answers

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Final answer:

The number of different ways the prizes can be awarded to the entrants is 19600.

Step-by-step explanation:

To find the number of different ways the prizes can be awarded to the entrants, we need to use the concept of combinations. Since there are 50 people and 3 identical prizes, we can determine the number of ways by calculating the combination of 50 people taken 3 at a time.

The formula for combination is given by nCr = n! / (r!(n-r)!), where n is the total number of items and r is the number of items chosen.

In this case, n = 50 and r = 3, so the number of ways is 50C3 = 50! / (3!(50-3)!) = 19600.

User Dean Swiatek
by
6.6k points
3 votes

I could get do the combination of 50 as the Object and 3 as the sample to get 19600 as the answer. took the test and it was right.


User Cpury
by
6.3k points
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