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4.2 Factorials and Permutations

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Factorial I have 4 cards, how many different ways can I pick those 4 cards if order matters.

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Factorial

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On calculator

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Factorials

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Choir A senior choir has rehearsed five songs for an upcoming assembly. In how many different orders can the choir perform the songs?

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Example In how many different ways could ten questions on a test be arranged, if the easiest question and the most difficult question – Are side by side – Are not side by side

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Permutations

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Permutation In how many different orders can eights nominees for the student council give their speeches?

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Permutation In how many ways could a president and vice- president be chosen from a group of eight nominees?

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Permuation Formula?

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Permutation

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Example In a card game, each player is dealt a face down “reserve” of 13 cards that can be turned up and used one by one during a game. How many different sequences of reserve cards could a player have?

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Assignment Pg 239 #’s 1,2,4,6,7,9,18

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Permutations and Combinations. Objectives: apply fundamental counting principle compute permutations compute combinations distinguish permutations.

Permutations and Combinations. Objectives: apply fundamental counting principle compute permutations compute combinations distinguish permutations.

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