NDA 2024 Mathematics question

The letters of the word ZOOLOGY are arranged in all possible ways. What is the probability that the consonants and vowels occur alternatively?

Answer: (D)

Solution

ZOOLOGY has 7 letters: 3 vowels (O, O, O) and 4 consonants (Z, L, G, Y). Total arrangements . For alternation the pattern

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Question ID VK-029999