In how many different ways can the letters of the word 'HAPPYHOLI' be arranged?

The given word HAPPYHOLI has 9 letters

These 9 letters can e arranged in 9! ways.

But here in the given word letters H & P are repeated twice each

Therefore, Number of ways these 9 letters can be arranged is 

$\frac{9!}{2! x 2!} = \frac{9 x 8 x 7 x 6 x 5 x 4 x 3}{2} = 90,720 \mathrm{ways}.$