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In arrangements of (EDUCATION), how many have all consonants only in even positions?

Answer and explanation

Correct answer: (2880)

There are (4) even positions among (9), and the (4) consonants occupy them in (4!) ways, while vowels fill the rest in (5!) ways. For position restrictions, first count the positions.

Related tags

PermutationsWordsPosition RestrictionPermutations And CombinationsMathematicsClass 11 Mcq

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