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Five competitors Amy, Brenda, Carla, Denise and Elise were in a race. How many ways can the podium (top three finishes) look if Amy finishes third?A12B36C67D20

Question

Five competitors Amy, Brenda, Carla, Denise and Elise were in a race. How many ways can the podium (top three finishes) look if Amy finishes third?A12B36C67D20

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Solution

The problem is asking for the number of ways the top three finishes can be arranged if Amy is always in the third place.

Step 1: Since Amy is always in the third place, we only need to consider the first and second places.

Step 2: There are 4 remaining competitors (Brenda, Carla, Denise, and Elise) who can take the first place. So, there are 4 possibilities for the first place.

Step 3: After the first place has been taken, there are 3 remaining competitors who can take the second place. So, there are 3 possibilities for the second place.

Step 4: The number of ways the top three finishes can be arranged is the product of the number of possibilities for the first and second places. So, there are 4 * 3 = 12 ways the podium can look if Amy finishes third.

So, the answer is A12.

This problem has been solved

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