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.