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Algebra Comprehensive January 31, 2012 Today is an A day! Title: Combinations

Algebra Comprehensive January 31, 2012 Today is an A day! Title: Combinations. Warm-up: 1.) 8 P 5

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Algebra Comprehensive January 31, 2012 Today is an A day! Title: Combinations

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  1. Algebra Comprehensive January 31, 2012 Today is an A day! Title: Combinations

  2. Warm-up: 1.) 8P5 2.) You need to enter a 4 digit code in order to enter the building where you work. The digits are 4 different numbers from 1 to 5. You forgot the code and try to guess it. Find the probability you guess correctly. 3.) You downloaded 6 songs. You randomly choose 4 of these songs to play. Find the probability that you play the first 4 songs you downloaded in the order in which you downloaded them.

  3. Review Homework:

  4. Combination: a selection of objects in which the order IS NOT important. Count the combinations of two letters from the list A, B, C, and D. What's the difference between permutations and combinations? Explain.

  5. Formula: nCr = n! (n-r)! . r! Ex.) You order a sandwich at a restaurant. You can choose 2 side dishes from a list of 8. How many combinations of side dishes are possible?

  6. Ex.) A yearbook editor has selected 14 photos, including one of you and one of your friend, to use in a collage for the yearbook. The photos are placed at random. There is room for 2 photos at the top of the page. What is the probability that your photo and your friend's photo are the two placed at the top of the page.

  7. Permutation or Combination? 1.) Ten students are auditioning for 3 different roles in a play. In how many ways can the 3 roles be filled? 2.) Six people are on the board of supervisors for your neighborhood park. A three-person committee is needed to study the possibility of expanding the park. How many different committees could be formed from the six people? 3.) A three-scoop bowl of three different flavors is to be formed from Baskin-Robbin's 31 flavors. How many such bowls are possible? 4.)In a race in which six automobiles are entered and there are no ties, in how many ways can the first four finishers come in?

  8. Practice: 1.) You can choose three toppings for a pizza out of 14 for no extra charge. How many combinations of pizza toppings are possible. 2.) 9C4 3.)11C6 4.) Two out of 10 flag twirlers are randomly chosen to lead the flag twirlers in a school parade. What is the probability that the two flag twirlers are you and your sister.

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