Permutations of OMEGA
CMAT 2024 · Quantitative Techniques & Data Interpretation · Easy · Permutations and Combinations
Find the number of permutations that can be made from the letters of the word OMEGA, if the vowels occupy odd places.
- A.
12 ways
- B.
6 ways
- C.
16 ways
- D.
20 ways
Answer
A
Explanation
Word OMEGA has 5 letters: Vowels (O, E, A) - 3; Consonants (M, G) - 2. 5 positions: 1st, 2nd, 3rd, 4th, 5th. Odd positions are 1st, 3rd, 5th (3 positions). Number of ways to arrange 3 vowels in 3 odd positions = . Number of ways to arrange 2 consonants in 2 remaining even positions (2nd, 4th) = . Total permutations = ways.
Hence, Option A is correct.
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