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.