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in how many ways can 8 people be seated in a row if there are 5 men and they must sit next to each other?

1 Answer

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Final answer:

There are 2880 ways for 8 people to be seated in a row if 5 men must sit next to each other.

Step-by-step explanation:

In this question, we need to find the number of ways 5 men can sit next to each other in a row with 8 people. Since the 5 men must sit together, we can think of them as a single block. So, we have 4 blocks: the block consisting of the 5 men and the 3 remaining people. We can arrange these 4 blocks in 4! (4 factorial) ways.

Within the block of 5 men, we can arrange the men themselves in 5! ways. Therefore, the total number of ways the 8 people can be seated is 4! * 5! = 24 * 120 = 2880.

User Hank Freeman
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