Multiple choice

In how many ways can the letters of the word 'THERAPY' be arranged so that the letters 'A' and 'Y' never come together?

  1. 1440

  2. 5040

  3. 3600

  4. 720

  5. None of these
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

THERAPY has 7 distinct letters. Total arrangements = 7! = 5040. When A and Y must be together, treat them as one unit: 6! × 2 = 1440 (arrangements × 2 orders for AY/YA). Therefore, arrangements where A and Y are NOT together = 5040 - 1440 = 3600. Option C is correct.

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