Text of Permutations and Combinations Standards: MM1D1b. Calculate and use simple permutations and...

Permutations and CombinationsStandards:MM1D1b. Calculate and use simple permutations and combinations.

How many different lunches could you order if there were 4 different sandwiches, 3 different side orders and 4 different drinks?

How many different ice cream sundaes could you order if there were 3 different flavors of ice cream, 4 different sauces, and 2 different toppings?

Suppose you wanted lunch and an ice cream sundae. What would you do?

Suppose you wanted either lunch or an ice cream sundae. What would you do?

N factorialFor any positive integer n, the product of integers from 1 to n is called n factorial and is written as n!. The value of 0! Is defined to be 1. Examples:5!5 4 3 2 1 = 2. 9!9 8 7 6 5 4 3 2 1 =

PermutationsA permutation is an arrangement of objects in which order is important. The number of permutations of n objects is given by nPn = n!. The number of permutations of n objects taken r at a time, where r n, is given by nPr = n! (n r)!

Example 1

You Try!!

Example 2

You Try!!

Example 3

You Try!!

Guided Practice

Guided Practice

Evaluate the expression.8. 4P3 9. 6P2 10. 7P4

Homework

Math 1 Textbook:

pg 344: 1 18 ALL

write problems and show all work!!

CombinationsA combination is a selection of objects in which order is NOT important. The number of combinations of n objects taken r at a time, where r n, is given by nCr = n!(n r)! r!