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NDA 2020
Exam
NDA
Year
2020
Subject
Mathematics
Chapter
Permutation and Combination

NDA 2020 · Mathematics · Permutation and Combination

What is the number of ways in which the letters of the word 'ABLE'...

What is the number of ways in which the letters of the word 'ABLE' can be arranged so that the vowels occupy even places?

Options

  1. A2
  2. B4
  3. C6
  4. D8

Correct answer

B. 4

Step-by-step solution

2nd and 4th place are even place, so vowel ' AA ' and ' EE ' arrange either 2 nd or 4 th place in 2!=2×1=22!=2 \times 1=2 ways Consonent letter, ' BB ' and ' LL ' arrange at 1 st and 3rd place in 2!=2×1=22!=2 \times 1=2 ways. Total number of arrangement =2×2=4=2 \times 2=4.
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