How many different ways can the letters in the word TRAVEL be arranged if there are two letters between T and L?

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Correct answer marked below

144

Correct

242

360

482

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Official Explanation

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The word TRAVEL consists of 6 letters. To have 2 letters between T and L, we can arrange them in the following patterns: T _ _ L _ _ or _ T _ _ L _ or _ _ T _ _ L. This gives us 3 configurations for T first and L second, and…

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Comments

AntonisJun 26, 2024

thanks for posting

MihirMar 30, 2024

Thankss

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.