How many distinct arrangements can you make using the letters in the word experiment

E x p e r i m e n t

Total number of letters = 10

Repeated letters = 3 e

Total arrangement from the 10 letters = 10!

Because of the repeated letters = 10! / 3!

= (10 * 9 * 8 * 7 * 6 * 5 * 4 * 3!) / 3!

= 10 * 9 * 8 * 7 * 6 * 5 * 4

= 604800

604800 distinct arrangements.