CA Foundation P3 · Chapter 5 · Question 8 of 9
In how many ways can the letters of the word ARTICLE be arranged so that the vowels occupy only the even positions?
Test yourself: pick an answer
Reveal answer & explanation
Correct answer: A) 144
Explanation
ARTICLE has 7 letters: vowels A, I, E (3) and consonants R, T, C, L (4). The even positions are 2, 4, 6, exactly 3 places, so vowels can be placed in 3! = 6 ways and consonants in the remaining 4 places in 4! = 24 ways. Total = 6 x 24 = 144. 720 is the answer for 'vowels together' (5! x 3!).
More Basic Concepts of Permutations and Combinations MCQs
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