Q166 / 270 · NDA 2022 (Phase 1) · Mathematics
How many permutations are there of the letters of the word 'TIGER' in which the vowels should not occupy the even positions?
- A72
- Correct answerB36
- C18
- D12
Solution
Vowels $=\{\mathrm{I}, \mathrm{E}\}$
$\therefore \quad$ Number of words in which vowels not occupy the even positions $={ }^3 C_2 \cdot 2!\cdot 3!=36$
$\therefore \quad$ Number of words in which vowels not occupy the even positions $={ }^3 C_2 \cdot 2!\cdot 3!=36$
Hence, the correct answer is option: 'B'.