How many distinct arrangements can be made for 5 ladies and 3 gentlemen at a round table if all the ladies must sit together?

Answer Choices

Correct answer marked below

120

288

720

Correct

1,440

4,320

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Explanation

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Official Explanation

Official

To solve the problem, we treat the 5 ladies as a single unit, resulting in 4 units total: {G1}, {G2}, {L1,L2,L3,L4,L5}. The number of ways to arrange these 4 units around the table is given by the formula for circular…

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Comments

varshinFeb 28, 2025

thanks for the answer

UtkarshSep 22, 2024

Great question!

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.