9-5 Combinations Find the number of combinations of a set of objects
Ex) We want to choose a committee of 2 from 4 people.  How many ways to do this? <ul><li>Demonstrate using volunteers. </l...
Coach Smith wants to select  co-captains for her basketball team.  She will select two girls from the four oldest members ...
Combination <ul><li>An arrangement, or listing, of objects in which order is  not  important. </li></ul><ul><li>For exampl...
4 players taken 2 at a time. <ul><li>4*3 </li></ul><ul><li>2! </li></ul>
Ex) Committee of 4 from 10
Choose 3 movies from 26 movies
Choosing 5 shirts for a  trip from 10 in all.
Choosing 5 cards from a deck of 52
Select 3 toppings to go on pizza from 13 different toppings
Paul’s Pizza Parlor is offering a large two-topping pizza for $14.99.  There are five toppings from which to choose.  How ...
A checkers tournament features each of the top 8 regional players playing every opponent one time.  The 2 players with the...
With a partner Handout—right side only Combination Code
Journal <ul><li>In a t-table—describe two situations in which order of selection is important and when order is not import...
P 389: 1, 3-16, 19
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9 5 Combinations

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9 5 Combinations

  1. 1. 9-5 Combinations Find the number of combinations of a set of objects
  2. 2. Ex) We want to choose a committee of 2 from 4 people. How many ways to do this? <ul><li>Demonstrate using volunteers. </li></ul>
  3. 3. Coach Smith wants to select co-captains for her basketball team. She will select two girls from the four oldest members on the team: Amber, Danielle, Leah, and Emma <ul><li>Use the first letter of each name to list all of the permutations of co-captains. How many are there? </li></ul><ul><li>Cross out any arrangement that contains the same letters as another one in the list. How many are there now? </li></ul><ul><li>Explain the difference between the two lists above. </li></ul>
  4. 4. Combination <ul><li>An arrangement, or listing, of objects in which order is not important. </li></ul><ul><li>For example, choosing Emma and Amber is the same as choosing Amber and Emma. </li></ul>
  5. 5. 4 players taken 2 at a time. <ul><li>4*3 </li></ul><ul><li>2! </li></ul>
  6. 6. Ex) Committee of 4 from 10
  7. 7. Choose 3 movies from 26 movies
  8. 8. Choosing 5 shirts for a trip from 10 in all.
  9. 9. Choosing 5 cards from a deck of 52
  10. 10. Select 3 toppings to go on pizza from 13 different toppings
  11. 11. Paul’s Pizza Parlor is offering a large two-topping pizza for $14.99. There are five toppings from which to choose. How many different two-topping pizzas are possible?
  12. 12. A checkers tournament features each of the top 8 regional players playing every opponent one time. The 2 players with the best records will then play in a final round to determine the champion. How many matches will be played if there are no ties?
  13. 13. With a partner Handout—right side only Combination Code
  14. 14. Journal <ul><li>In a t-table—describe two situations in which order of selection is important and when order is not important. </li></ul>
  15. 15. P 389: 1, 3-16, 19
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