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Accelerated Math II Circular Permutations

October 31, 2013. Accelerated Math II Circular Permutations. How many different ways can we put 3 different foods on a plate?. How many different ways can we put 3 different foods on a plate?. How many different ways can we put 3 different foods on a plate?.

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Accelerated Math II Circular Permutations

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  1. October 31, 2013 Accelerated Math IICircular Permutations

  2. How many different ways can we put 3 different foods on a plate?

  3. How many different ways can we put 3 different foods on a plate?

  4. How many different ways can we put 3 different foods on a plate?

  5. How many different ways can we put 4 different foods on a plate?

  6. Circular Permutation:The number of ways to arrange n distinct objects along a fixed (i.e., cannot be picked up out of the plane and turned over) circle is (n – 1)!

  7. The number is (n – 1)! instead of the usual factorial n! since all cyclic permutations of objects are equivalent because the circle can be rotated. (n – 1)!

  8. How many different ways can we put 3 different beads on a wire?

  9. How many different ways can we put 3 different beads on a wire?

  10. Reflective Permutation:When an arrangement can be reflected without any loss of context, the original number of permutations should be divided by 2.

  11. How many different ways can we put 3 different beads on a closed wire?

  12. How many different ways can we put 3 different beads on a closed wire?

  13. But wait!! They’re just beads!!!

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