Q175 / 270 · NDA 2022 (Phase 2) · Mathematics

Paragraph: Consider the word 'QUESTION' :Question: How many 4-letter words each of two vowels and two consonants with or without meaning, can be formed ?

  • A
    $36$
  • B
    $144$
  • C
    $576$
  • Correct answer
    D
    $864$

Solution

Number of words contains two vowels and two $\begin{aligned} & \text { consonants }={ }^4 C_2 \cdot{ }^4 C_2 \times 4 \text { ! } \\ & =6.6 .24=864 \end{aligned}$

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

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