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Find the value of 5 P 3. Counting Methods – Part 3.

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Presentation on theme: "Find the value of 5 P 3. Counting Methods – Part 3."— Presentation transcript:

1 Find the value of 5 P 3

2 Counting Methods – Part 3

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

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

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

6 Permutation vs. Combination How many different ways can 1, 2, and 3 be arranged? Permutation Order does matter 1 2 3 1 3 2 2 1 3 2 3 1 3 1 2 3 2 1 Combination Order doesn't matter 1 2 3

7 Key words for combinations Group Team Committee Collection

8 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

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

10

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

12 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?

13 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?

14 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?

15 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?

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

17 Notation


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