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How many ways can you arrange a deck of cards? - Yannay Khaikin

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One deck. Fifty-two cards. How many arrangements? Let's put it this way: Any time you pick up a well shuffled deck, you are almost certainly holding an arrangement of cards that has never before existed and might not exist again. Yannay Khaikin explains how factorials allow us to pinpoint the exact (very large) number of permutations in a standard deck of cards.

Besides a deck of cards, have you ever encountered a situation where objects can be rearranged? Describe the situation, and calculate the number of possible rearrangements -- or permutations -- that these objects possess.

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TED-Ed Animations feature the words and ideas of educators brought to life by professional animators. Are you an educator or animator interested in creating a TED-Ed Animation? Nominate yourself here »

Meet The Creators

  • Educator Yannay Khaikin
  • Animator Nadav Arbel
  • Artist Nadav Gazit
  • Narrator Addison Anderson

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