Counting and Factorial. Factorial Written n!, the product of all positive integers less than and equal to n. Ex: Evaluate.

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Presentation transcript:

Counting and Factorial

Factorial Written n!, the product of all positive integers less than and equal to n. Ex: Evaluate.

Exploration Evaluate the following without a calculator: 4! = 3! = 2! = 1! = Describe a pattern and find the answer for: 0! = ÷ 4 ÷ 3 ÷ 2 ÷ 1

Zero Factorial The zero factorial is one 0! = 1

Counting with Factorials Ex: 6 different pictures are to be hung side-by- side along one wall. How many different arrangements are possible. The total number of ways (without repeats) to choose AND arrange n objects from a set of n objects (order matters) is: