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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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