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5 votes
Mr. Pratt has 26 students in his math class. He has

three prizes to give away: a pencil, an eraser, and
a no homework coupon. How many ways can he
choose three students to win these awards?

1 Answer

3 votes

Final answer:

There are 5200 ways for Mr. Pratt to choose three students to win the prizes.

Step-by-step explanation:

In order to choose three students out of 26 to win the prizes, we can use the concept of combinations. The number of ways to choose r objects from n objects is given by the formula nCr = n! / (r!(n-r)!). In this case, we want to choose 3 students out of 26, so we can calculate: 26C3 = 26! / (3!(26-3)!) = (26 * 25 * 24) / (3 * 2 * 1) = 26 * 25 * 8 = 5200.

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