The problem can be solved using the concept of permutations in combinatorics.

Step 1: Determine the number of ways to choose the winner. There are 15 participants, so there are 15 ways to choose the winner.

Step 2: Determine the number of ways to choose the second place. After the winner is chosen, there are 14 participants left, so there are 14 ways to choose the second place.

Step 3: Determine the number of ways to choose the third place. After the first two places are chosen, there are 13 participants left, so there are 13 ways to choose the third place.

Step 4: Multiply the number of ways to choose the winner, the second place, and the third place to get the total number of ways the first three prizes can be won.

So, 15 * 14 * 13 = 2730 ways.

Therefore, the correct answer is 2730.

Question

The problem can be solved using the concept of permutations in combinatorics.

Step 1: Determine the number of ways to choose the winner. There are 15 participants, so there are 15 ways to choose the winner.

Step 2: Determine the number of ways to choose the second place. After the winner is chosen, there are 14 participants left, so there are 14 ways to choose the second place.

Step 3: Determine the number of ways to choose the third place. After the first two places are chosen, there are 13 participants left, so there are 13 ways to choose the third place.

Step 4: Multiply the number of ways to choose the winner, the second place, and the third place to get the total number of ways the first three prizes can be won.

So, 15 * 14 * 13 = 2730 ways.

Therefore, the correct answer is 2730.

Knowee AI · Accepted Answer

The problem can be solved using the concept of permutations in combinatorics.

Step 1: Determine the number of ways to choose the winner. There are 15 participants, so there are 15 ways to choose the winner.

Step 2: Determine the number of ways to choose the second place. After the winner is chosen, there are 14 participants left, so there are 14 ways to choose the second place.

Step 3: Determine the number of ways to choose the third place. After the first two places are chosen, there are 13 participants left, so there are 13 ways to choose the third place.

Step 4: Multiply the number of ways to choose the winner, the second place, and the third place to get the total number of ways the first three prizes can be won.

So, 15 * 14 * 13 = 2730 ways.

Therefore, the correct answer is 2730.

Fifteen participants are participating in a competition. In how many ways can the first three prizes be won?Choices:- 1320 2730 220 950

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