Question

You can rearrange the letters in the word "Sanction" how many times?

Data distributions
ANSWERED
asked 2020-10-27
You can rearrange the letters in the word "Sanction" how many times?

Answers (1)

2020-10-28
There're 8 letters in the word, sounting the repeating letter "N".
\(\displaystyle\frac{{{n}!}}{{{\left({\underset{{{1}}}{{{r}}}}!\right)}{\left({\underset{{{2}}}{{{r}}}}!\right)}\ldots{\left({\underset{{{k}}}{{{r}}}}!\right)}}}\)
Substitute:
\(\displaystyle\frac{{{8}!}}{{{2}!}}=\frac{{40320}}{{2}}={20160}\)
There're 20160 ways.
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