You have 11 cubes in 8 different colors (1 color repeats 2 times and another one repeats 3 times) that you want to build in a line. How many different lines can be formed with those cubes?

Question
Data distributions
asked 2021-01-08
You have 11 cubes in 8 different colors (1 color repeats 2 times and another one repeats 3 times) that you want to build in a line. How many different lines can be formed with those cubes?

Answers (1)

2021-01-09
\(\displaystyle\frac{{{n}!}}{{{\left({\underset{{{1}}}{{{r}}}}!\right)}{\left({\underset{{{2}}}{{{r}}}}!\right)}\ldots{\left({\underset{{{k}}}{{{r}}}}!\right)}}}\)
Substitute from the given:
\(\displaystyle\frac{{{11}!}}{{{3}!\times{2}!}}={3326400}\)
There are 3326400 ways.
0

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