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Find the value of 5 P 3

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” "The combination to the safe was 472”. Order does not matter. Order does matter. Combination .

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Find the value of 5 P 3

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  1. Find the value of 5P3

  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? Combination Order doesn't matter 1 2 3 Permutation Order does matter 1 2 3 1 3 22 1 32 3 13 1 23 2 1

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

  11. 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?

  12. 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?

  13. 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?

  14. 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?

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

  16. Notation

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