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

User Elbonian
by
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1 Answer

4 votes
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.
User Ben Adams
by
7.7k points

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