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Section 12.9 Combinations

Section 12.9 Combinations. What You Will Learn. Combinations. Combination. A combination is a distinct group (or set) of objects without regard to their arrangement. Combination Formula. The number of combinations possible when r objects are selected from n objects is found by.

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Section 12.9 Combinations

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  1. Section 12.9Combinations

  2. What You Will Learn • Combinations

  3. Combination • A combination is a distinct group (or set) of objects without regard to their arrangement.

  4. Combination Formula • The number of combinations possible when r objects are selected from n objects is found by

  5. Example 2: Museum Selection • While visiting New York City, the Friedmans are interested in visiting 8 museums but have time to visit only 3. In how many ways can the Friedmans select 3 of the 8 museums to visit?

  6. Example 2: Museum Selection • Solution • n = 8, r = 3 • There are 56 different ways that 3 of the 8 museums can be selected.

  7. Example 3: Floral Arrangements • Jan Funkhauser has 10 different cut flowers from which she will choose 6 to use ina floral arrangement. How many different ways can she do so?

  8. Example 3: Floral Arrangements • Solution • n = 10, r = 6 • There are 210 different ways Jan can choose 6 cut flowers from the 10.

  9. Example 4: Dinner Combinations • At the Royal Dynasty Chinese restaurant, dinner for eight people consists of 3 items from column A, 4 items from column B, and 3 items from column C. If columns A, B, and C have 5, 7, and 6 items, respectively, how many different dinner combinations are possible?

  10. Example 4: Dinner Combinations • Solution • Column A: 3 of 5, Column B: 4 of 7, Column C 3 of 6

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