In a set of 8 identical tokens, each token has one side colored red and the other side colored blue. How many more arrangements can be made with 4 red sides and 4 blue sides showing compared to arrangements with 5 red sides and 3 blue sides showing?

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Official Explanation

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We have 8 identical tokens, each with one red side and one blue side. To solve this, we can think of the tokens as letters in a word. We need to calculate the number of arrangements for two scenarios: one with 4 red tokens and 4 blue tokens, and another with 5 red tokens and 3…

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Comments

sprinkieeMar 9, 2024

taking my GMAT next month, this helps!

SuryaJun 28, 2024

thanks a lot

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.