Math 141 Ch 6 part 3

# Math 141 Ch 6 part 3 - Permutations Arranging objects in a...

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Permutations Arranging objects in a DEFINITE ORDER!

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Example : Find the number of permutations of the set A= {7, 8, 9} and list them.
Example : Find the number of ways a group of five people can stand in line for football tickets. Example : Find the number of ways a group of seven friends can sit in a row of seven seats at the movies.

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Counting the Number of Permutations of n Distinct Objects The number of ways of permuting (or arranging) n distinct objects is given by Notation: n -factorial = n ! = Example : Evaluate a) 5! b) 10! c) 0! n " n # 1 ( ) " n # 2 ( ) "\$\$\$" 2 " 1 n " n # 1 ( ) " n # 2 ( ) "\$\$\$" 2 " 1
r Objects from a Group of n Distinct Objects Idea : You are trying to arrange a subset from a group of distinct objects and then are counting the number of arrangements. The number of ways of permuting r objects from a group of n distinct objects ( r n ) is given by ! ( , ) ( )! n

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Math 141 Ch 6 part 3 - Permutations Arranging objects in a...

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