How do you find the number of distinguishable permutations using the letters in FOOTBALL?

kramberol

kramberol

Answered

2022-07-15

How do you find the number of distinguishable permutations using the letters in FOOTBALL?

Answer & Explanation

Camron Herrera

Camron Herrera

Expert

2022-07-16Added 16 answers

Explanation:
There are 8 letters, so there are 8! permutations. However, the question asks for distinguishable permutations, so you must eliminate the permutations presented by the repeated letters. There are 2O's and 2L's.
8 ! 2 ! 2 ! = 8 7 6 5 4 3 2 1 2 1 2 1 = 40320 4 = 10080

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