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NDA 2022
Exam
NDA
Year
2022
Subject
Mathematics
Chapter
Permutation and Combination

NDA 2022 · Mathematics · Permutation and Combination

Paragraph: Consider the word 'QUESTION' : Question: How many 8...

Paragraph: Consider the word 'QUESTION' :Question: How many 8 -letter words with or without meaning, can be formed such that consonants and vowels occupy alternate positions?

Options

  1. A288288
  2. B576576
  3. C11521152
  4. D23042304

Correct answer

C. 11521152

Step-by-step solution

C V C V C V/CV or VC VC VC VC Number of 8 letter words such that vowels and consonants occupy alternate positions. =2×4!4!=2×24×24=1152=2 \times 4!4!=2 \times 24 \times 24=1152
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