Twelve students compete in a race. In how many ways can first three prizes be given?Choices:- 1320 36 1200 3

The problem can be solved using the concept of permutations.

Step 1: Determine the number of ways to choose the first prize. There are 12 students, so there are 12 ways to choose the first prize.

Step 2: Determine the number of ways to choose the second prize. After the first prize has been chosen, there are 11 students left, so there are 11 ways to choose the second prize.

Step 3: Determine the number of ways to choose the third prize. After the first and second prizes have been chosen, there are 10 students left, so there are 10 ways to choose the third prize.

Step 4: Multiply the number of ways to choose each prize together to get the total number of ways to choose all three prizes.

So, 12 * 11 * 10 = 1320

Therefore, the answer is 1320.