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Using (4) vowels and (6) consonants, how many strings of (6) letters can be formed if repetition is allowed, exactly (2) vowels are used, and no two vowels are adjacent?

Answer and explanation

Correct answer: (207360)

First choose (2) non-adjacent vowel positions among (6), then fill vowels and consonants. With repetition allowed, each chosen position keeps the same number of choices.

Related tags

StringsVowelsNonadjacentFundamental Principle Of CountingPermutations And CombinationsMathematicsClass 11 Mcq

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