Permutations and Combinations Course 3 10-9 Permutations and Combinations Warm Up #3 Thursday, 2/4/2016 Find the number of possible outcomes. 1. bagels: plain, egg, wheat, onion meat: turkey, ham, roast beef, tuna 2. eggs: scrambled, over easy, hard boiled meat: sausage patty, sausage link, bacon, ham 3. How many different 4–digit phone extensions are possible? 16 12 10,000

Homework Factorial worksheet

Factorial

The factorial (!) of a number is the product of all the whole numbers from the number down to 1. ** 0! = 1 5! = 5 • 4 • 3 • 2 • 1 Read 5! as “five factorial.” Reading Math

Additional Example 1: Evaluating Expressions Containing Factorials Evaluate each expression. A. 9! 9 • 8 • 7 • 6 • 5 • 4 • 3 • 2 • 1 = 362,880 8! B. 6! Write out each factorial and simplify. 8 •7 • 6 • 5 • 4 • 3 • 2 • 1 6 • 5 • 4 • 3 • 2 • 1 Multiply remaining factors. 8 • 7 = 56 Course 3

Additional Example 1: Evaluating Expressions Containing Factorials Course 3 Permutations and Combinations Additional Example 1: Evaluating Expressions Containing Factorials 10! (9 – 2)! C. 10! 7! Subtract within parentheses. 10 • 9 • 8 • 7 • 6 • 5 • 4 • 3 • 2 • 1 7  6  5  4  3  2  1 10 • 9 • 8 = 720

Subtract within parentheses. Check It Out: Example 1 9! (8 – 2)! C. 9! 6! Subtract within parentheses. 9 • 8 • 7 • 6 • 5 • 4 • 3 • 2 • 1 6  5  4  3  2  1 9 • 8 • 7 = 504 Course 3