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Algebra II

Algebra II. 10.2: Use Combinations Quiz 10.1-10.3: Friday, 12/13. Combinations. An ordering of r objects from a total of n objects where order is not important is a combination. The # of combinations = where n = total # of objects, r = # you are taking.

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Algebra II

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  1. Algebra II 10.2: Use Combinations Quiz 10.1-10.3: Friday, 12/13

  2. Combinations • An ordering of r objects from a total of n objects where order is not important is a combination. • The # of combinations = where n = total # of objects, r = # you are taking.

  3. p.691 example 3: During the school year, the basketball team is scheduled to play 12 home games. If you want to attend at least 3 games, how many different combinations of games can you attend? Combination or Permutation

  4. Combination or Permutation A club has a president and vice-president position. Out of 12 students, how many ways can students be chosen for these two positions?

  5. Combination or Permutation p.695 #39: Five representatives from a group of 280 students are to be chosen for members of student council. In how many different ways can students be chosen?

  6. Combination or Permutation p.695 #40: A relay race has a team of 4 runners who run different parts of the race. There are 20 students on your track squad. In how many ways can the coach select students to compete on the relay team?

  7. Permutations, Combinations, and Probability • AND  indicates multiplication • OR  indicates addition

  8. If you have a standard deck of cards, answer the following questions. How many 5-card hands are possible? How many 5-card hands of the same color are possible?

  9. From a standard 52-card deck, find the number of 5-card hands that contain the cards specified. 1.) 5 face cards 2.) 4 kings and 1 other card

  10. From a standard 52-card deck, find the number of 5-card hands that contain the cards specified. 3.) 1 ace and 4 cards that are not aces 4.) 5 hearts or 5 diamonds

  11. From a standard 52-card deck, find the number of 5-card hands that contain the cards specified. 5.) at most 1 queen

  12. From a standard 52-card deck, find the number of 5-card hands that contain the cards specified. 6.) at least 1 spade

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