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NDA 2022

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

NDA 2022 · Mathematics · Permutation and Combination

How many permutations are there of the letters of the word 'TIGER'...

How many permutations are there of the letters of the word 'TIGER' in which the vowels should not occupy the even positions?

Options

A72
B36
C18
D12

Correct answer

B. 36

Step-by-step solution

Vowels

=\{

\mathrm{I}

, \mathrm{E}\}

\therefore \quad

Number of words in which vowels not occupy the even positions

={ }^3 C_2 \cdot 2!\cdot 3!=36

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