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Find the value of 5 P 3
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Counting Methods – Part 3
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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
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Combination A combination of items means a selection in which the order they are chosen does not matter.
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Usage of Combination "My fruit salad is a combination of apples, grapes and bananas” "The combination to the safe was 472” Combination Permutation
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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
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Key words for combinations Group Team Committee Collection
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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
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Formula for Combination A combination of r items from n available items is
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For example: We are looking for the number of different combination groups of any 3 books from 5 books.
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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?
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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?
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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?
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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?
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Math Flash!!! Pick a problem – find the value of:
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Notation
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