engineering mathematics MCQ #4025

If the letters of the word 'ARTICLE' are arranged randomly, find the probability that vowels occupy even places.

engineering mathematics MCQ #4025

  1. Question 1

    Q1. If the letters of the word 'ARTICLE' are arranged randomly, find the probability that vowels occupy even places.

    • A) (4C3 * 3! * 4!) / 7!
    • B) (4P3 * 4!) / 7!
    • C) (3! * 4!) / 7!
    • D) 4! / 7!

    Answer: (3! * 4!) / 7!

    Explanation: 3 vowels can be arranged in 4 even places in 4P3 = 4C3 * 3! ways. Remaining 4 consonants can be arranged in 4! ways.