Question 979795
how many distinguishable permutations in the words: BROCCOLI/DEDICATION/DEEPNESS
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Count the letters, the factorial of that is the numerator.
The denominator will consist of the product of the factorials 
of the numbers of times each letter is repeated.

BROCCOLI

Count the letters, 8, the factorial of 8 is the numerator.  8!
The denominator will consist of the product of the factorials 
of the numbers of times each letter is repeated. O occurs 2 times
and C occurs 2 times. So the denominator is 2!2!

Answer {{{8!/(2!2!)=10080}}}

DEDICATION

Count the letters, 10, the factorial of 10 is the numerator.  10!
The denominator will consist of the product of the factorials 
of the numbers of times each letter is repeated. D occurs 2 times
and I occurs 2 times. So the denominator is 2!2!

Answer {{{10!/(2!2!)=907200}}}

DEEPNESS

Count the letters, 8, the factorial of 8 is the numerator.  8!
The denominator will consist of the product of the factorials 
of the numbers of times each letter is repeated. E occurs 3 times
and S occurs 2 times. So the denominator is 3!2!

Answer {{{8!/(3!2!)=3360}}}

Edwin</pre>