How many different 10letter words real or imaginary can be f

How many different 10-letter words (real or imaginary can be formed from the following letters?

L, L, E, E, E, A, L, G, Z, E

Solution

Due to 2 N\'s, 2 H\'s, 2 S\'s , 2!2!2! cases are repeated.

Hence different 10-letter words (real or imaginary) can be formed from the following letters = 10!/(2!2!2!) = 453600