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    Permutations with repeats

    Advanced Concepts

      Repeat Items in Permutations  

    Compare the permutations of the letters A,B,C with those of the same number of letters ,3, but with one repeated letter A, A, B
    All the different arrangements of the letters A, B, C
    Permutation without Repeats
    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
    Permutation with Repeats
    If A out of N items are identical, then the number of different permutations of the N items is N!/A!
      If a set of N items contains A identical items, B identical items, and C identical items etc.., then the total number of different permutations of N objects is
        Formula for Repeating Items

    Permutation Practice Problems

    Problem 1) How many ways can you arrange the word 'loose'?
     Answer 
    Problem 2) How many can you arrange the word ' appearing'? stuck
    Answer
    Problem 3) How many can you arrange the letters in the word 'Mississippi'? stuck
    Answer

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