how many distinguishable permutations in the words: BROCCOLI/DEDICATION/DEEPNESS
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 
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 
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 
Edwin
