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In how many different ways can five friends sit for a photograph of five chairs in a row?

Question

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Solution

To find the number of different ways the five friends can sit for a photograph of five chairs in a row, we can use the concept of permutations.

Step 1: Determine the number of choices for the first friend to sit. Since there are five chairs available, the first friend can choose any of the five chairs.

Step 2: After the first friend has chosen a chair, there are four chairs remaining for the second friend to choose from.

Step 3: Similarly, after the second friend has chosen a chair, there are three chairs remaining for the third friend to choose from.

Step 4: After the third friend has chosen a chair, there are two chairs remaining for the fourth friend to choose from.

Step 5: Finally, after the fourth friend has chosen a chair, there is only one chair remaining for the fifth friend to sit.

To find the total number of different ways the friends can sit, we multiply the number of choices at each step: 5 x 4 x 3 x 2 x 1 = 120.

Therefore, there are 120 different ways the five friends can sit for the photograph.

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