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April 22, 2010Math 132: Foundations of Mathematics 11.2 Homework Solutions 8. 10! = 3,628,800 43. 13 P 7 = 8,648,640 44. 20 P 3 = 6,840 50. 7!/(2!2!) =

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Presentation on theme: "April 22, 2010Math 132: Foundations of Mathematics 11.2 Homework Solutions 8. 10! = 3,628,800 43. 13 P 7 = 8,648,640 44. 20 P 3 = 6,840 50. 7!/(2!2!) ="— Presentation transcript:

1 April 22, 2010Math 132: Foundations of Mathematics 11.2 Homework Solutions 8. 10! = 3,628,800 43. 13 P 7 = 8,648,640 44. 20 P 3 = 6,840 50. 7!/(2!2!) = 1,260

2 April 22, 2010Math 132: Foundations of Mathematics Amy Lewis Math Specialist IU1 Center for STEM Education

3 April 22, 2010Math 132: Foundations of Mathematics 11.2 Combinations Distinguish between permutations and combination problems. Solve problems involving combinations using the combinations formula.

4 April 22, 2010Math 132: Foundations of Mathematics Combinations In June of 1999, Time magazine did a story on people whose careers became more profitable after their tragic deaths. –Kurt Cobain –Selena –James Dean –Jim Morrison –Marilyn Monroe Of these 5 people, which 3 should be selected to be in a documentary on the topic?

5 April 22, 2010Math 132: Foundations of Mathematics Combinations The items are selected from the same group. –The 5 stars who died tragically. No item is used more than once. –You may adore Selena, but your 3 selections cannot be Selena, Selena, Selena. The order of items makes no difference. –Morrison, Cobain, Selena is the same group as Selena, Cobain, Morrison)

6 April 22, 2010Math 132: Foundations of Mathematics Permutation or Combination? Six students are running for student government president, vice president, and treasurer. How many different outcomes are possible for these three positions? PERMUTATION

7 April 22, 2010Math 132: Foundations of Mathematics Permutation or Combination? Six people are on the board of supervisors for your neighborhood park. A 3-person committee is needed to study the possibility of expanding the park. How many different committees could be formed from the six people? COMBINATION

8 April 22, 2010Math 132: Foundations of Mathematics Permutation or Combination? Baskin-Robbins offers 31 different flavors of ice cream. One of their items is a bowl consisting of 3 scoops of ice cream, each a different flavor. How many such bowls are possible? COMBINATION

9 April 22, 2010Math 132: Foundations of Mathematics Formula for Combinations n C r = the number of combinations of n things taken r at a time. Let’s look at the letters A, B, C, and D. –24 permutations of 3 letters –4 combinations of 3 letters n! (n – r)!r!

10 April 22, 2010Math 132: Foundations of Mathematics Using the Formula You volunteer to pet-sit for your friend who has seven different animals. How many different pet combinations are possible if you take three of the seven pets?

11 April 22, 2010Math 132: Foundations of Mathematics Using the Formula How many 5-card hands can be dealt from a deck that has 52 different cards? How many different 4-card hands can be dealt from a deck that has 16 different cards?

12 April 22, 2010Math 132: Foundations of Mathematics Lottery Math To win the lotto in the state of FL, one must correctly select 6 numbers from a collection of 53 numbers. The order in which the selection is made does not matter. How many different selections are possible?

13 April 22, 2010Math 132: Foundations of Mathematics Homework 626: 37 – 41 Be sure to think about whether the situation is an example of a permutation or combination. Next Session: Monday, April 26 Next week is a 3-session week (M, Th, F)!


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