Multiple choice

In how many different ways, letters of the word MANPOWER be arranged such that all vowels are together?

  1. 4120

  2. 4220

  3. 4320

  4. 4420

  5. 4520
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

MANPOWER has 8 letters: M, A, N, P, O, W, E, R. Vowels are A, O, E. Treat (AOE) as one unit. Remaining letters: M, N, P, W, R (5 letters). Total units = 5 + 1 = 6. Arrangements = 6! * 3! = 720 * 6 = 4320.

AI explanation

The word MANPOWER has 8 total letters, and its 3 vowels (A, O, E) must stay together. Treat this vowel block as a single unit, giving 6 units to arrange in 6! ways. The 3 vowels can be arranged within the block in 3! ways, so the total arrangements equal 6! times 3!, which is 720 times 6, or 4320.

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