Question

In how many different ways can the letters of the word 'THERAPY' be arranged, so that the vowels never come together?

Options

• 720

• 1440

• 5040

• 3600

Answer 1

3600
Explanation:

Total number of ways in which the letters of the word 'THERAPY' be arranged = 7! = 5040

Number of ways in which vowels are together = 6! x 2! = 1440

∴ Required number of ways = 5040 - 1440 = 3600