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Permutations with Repetitions

Permutations with Repetitions. The number of permutations of n objects of which p are alike and q are alike is…. How many t en-letter passcodes can be formed from the letters of the word Tuskaloosa ? Tom set the following as his password: ?thm747h7?

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Permutations with Repetitions

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  1. Permutations with Repetitions

  2. The number of permutations of n objects of which p are alike and q are alike is… How many ten-letter passcodes can be formed from the letters of the word Tuskaloosa? Tom set the following as his password: ?thm747h7? How many ten-digit passcodes can be formed using the same characters?

  3. Circular permutations – objects arranged in a circle. When objects are arranged in a circle, without a fixed point of reference, some of the arrangements are the same. Examples players in a huddle Gondolas on a Ferris Wheel Family seated around a rectangular or circular table Animals on a Carousel Beads on a necklace

  4. Circular Permutations… How many ways can 6 condiments be placed around a revolving condiment server? How many ways can a family of 5 be seated around a rectangular table?

  5. Circular arrangements relative to fixed point are treated as linear permutations… How many ways can a family of 5 be seated around a rectangular table beginning at the window seat?

  6. So what??? Now What???

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