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Permutations with repeatsAdvanced ConceptsRepeat Items in PermutationsCompare the permutations of the letters A,B,C with those of the same number of letters ,3, but with one repeated letter
All the different arrangements of the letters A, B, C
All the different arrangements of the letters A, A, B
(total number of letters)! ÷ (number of repeats)! 3!/2! = (3×2×1)/(2×1) = 3
If A out of N items are identical, then the number of different permutations of the N items is N!/A!
Permutation Practice Problems Problem 1) How many ways can you arrange the word 'loose'? Answer Top |