In a theater, a group of 28 students occupies an entire row. Among these students, there are four pairs who wish to sit next to each other. How many distinct arrangements can the students have?

Answer Choices

Correct answer marked below

24!*4

24!*8

24!*2^4

Correct

25!*4!

24!*4!*2^4

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Explanation

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Official Explanation

Official

To solve this problem, we treat each couple as a single unit or block. Since there are 4 couples, we can consider them as 4 blocks. This leaves us with 24 individual students plus the 4 blocks, making a total of 28 units to arrange. The number of ways to…

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Comments

NaimishJan 9, 2025

thanks

BhavyaMar 27, 2025

thanks for posting

FilipeMar 7, 2024

Amazing

What this question tests

What it tests

Whether you can count arrangements and selections correctly — permutations vs. combinations.

Common trap

Overcounting: treating a selection as ordered when order does not matter, or forgetting to divide by duplicates.