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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...

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 ?

Options

  1. A3636
  2. B144144
  3. C576576
  4. D864864

Correct answer

D. 864864

Step-by-step solution

Number of words contains two vowels and twotwo consonants =4C2⋅4C2×4 ! =6.6.24=864\begin{aligned} & \text{ consonants }={ }^4 C_2 \cdot{ }^4 C_2 \times 4 \text{ ! } \\ & =6.6.24=864 \end{aligned}$$
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