Find the value of 5 P 3 Counting

Find the value of 5 P 3

Counting Methods – Part 3

Usage of Combination • "My fruit salad is a combination of apples, grapes and bananas” Order does not matter • "The combination to the safe was 472” Order does matter

Combination • A combination of items means a selection in which the order they are chosen does not matter.

Usage of Combination • "My fruit salad is a combination of apples, grapes and bananas” Combination • "The combination to the safe was 472” Permutation

Permutation vs. Combination • How many different ways can 1, 2, and 3 be arranged? Permutation Order does matter 123 132 213 231 312 321 Combination Order doesn't matter 123

Key words for combinations • • Group Team Committee Collection

For example • We are looking for the number of different combination groups of any 3 books from 5 books. 1, 2, 3, 4, 5 123 124 125 134 135 145 234 235 245 345 10 different groups

Formula for Combination • A combination of r items from n available items is

For example: • We are looking for the number of different combination groups of any 3 books from 5 books.

In Ms. Parker’s small class of 10 students, 4 students will be awarded free homework passes. If she randomly selects these 4 students, how many different groups of students are possible?

In the game of Poker, each player is dealt 5 cards. Using a standard 52 -card deck, how many different groups of 5 cards are possible?

At a local supermarket, Rhonda wishes to buy 2 different flavors of Jell-O and 1 cake. The supermarket carries 4 different flavors of Jell-O and 5 different cakes. In how many different ways can Rhonda make her selection?

In the BMWX company, a hiring committee needs to be formed. From an available pool of 7 men and 9 women, the committee will consist of 3 men and 3 women. How many different committees are possible?

Math Flash!!! • Pick a problem – find the value of:

Notation