Q176 / 270 · NDA 2022 (Phase 2) · Mathematics

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?

  • A
    $288$
  • B
    $576$
  • Correct answer
    C
    $1152$
  • D
    $2304$

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. $=2 \times 4!4!=2 \times 24 \times 24=1152$

Hence, the correct answer is option: 'C'.

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