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NDA Math Permutations and Combinations

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Consider the following for the next three (03) items that follow :
Consider the word 'QUESTION' :

[NDA II 2022]

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Question : 4 of 65

Marks: +1, -0

How many 8-letter words with or without meaning, can be formed such that consonants and vowels occupy alternate positions?

288
576
1152
2304

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