Multiple choice

The letters of the word PROMISE are arranged so that no two of the vowels should come together. Find the total number of arrangements.

  1. 49

  2. 1440

  3. 7

  4. 1898
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

PROMISE has 7 letters: 3 vowels (O, I, E) and 4 consonants (P, R, M, S). Arrange consonants first: 4! = 24. There are 5 spaces between/around consonants: P_R_M_S. Choose 3 spaces for vowels: 5P3 = 5 * 4 * 3 = 60. Total = 24 * 60 = 1440.

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