Question

Find the number of permutations of the word “helicopter”.

Answer 1

i figured it out, 10!/2!

Answer 2

HELICOPTER

-10 letters
- E repeats 2 times
- every other letter repeats only once

- helicopter = 9 distinct letters
- total of 10 letters Number of permutations without replacement for distant objects
(T)! / X!, where T is the total number of letters to be permuted, and X is the objects that are similar There are 10 total letters
- so T = 10.
- There are 2 objects that are similar (E), so X = 2 Permutations of HELICOPTER = 10! / 2!

Answer 3

\[\frac{ (total~number~of~letters)! }{ (repeated~letters)! } = \frac{ 10! }{ 2! }\]