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Combinations

Combinations. End-in-mind/challenge Sonic advertises that they have over 168,000 drink combinations. Is this correct? How many do they actually have? Parameters: 12 base drinks 16 Add-ins Max of 1 base drink and 6 add-ins.

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Combinations

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  1. Combinations

  2. End-in-mind/challenge • Sonic advertises that they have over 168,000 drink combinations. Is this correct? How many do they actually have? • Parameters: • 12 base drinks • 16 Add-ins • Max of 1 base drink and 6 add-ins

  3. How many ways can you pick 3 pizza topping from the following 4 topping offered (assuming no repeats): Pepperoni, sausage, Canadian Bacon, Chicken

  4. Combinations *Use when order does not matter* • The total number of ways of selecting n objects, taking r at a time (order does not matter)

  5. How many ways can you pick 3 pizza topping from the following 4 topping offered (assuming no repeats): Pepperoni, sausage, Canadian Bacon, Chicken • What if we only pick 2 toppings?

  6. Examples • The cheer coach has to cut the team down from 16 players to 9, how many ways could this be done?

  7. Examples • I need to choose 5 students from those in here today to come to the board. How many ways could I do this?

  8. Examples • How many ways could you deal a 7-card hand from a normal deck of cards?

  9. Examples • How many ways could you deal a 5 card hand with 3 red cards and 2 black cards?

  10. Examples • How many ways could you deal a 7 card hand with all red cards or all black cards?

  11. Examples • How many ways could you deal a 7 card hand with at most 1 diamond?

  12. 10.2 Assignments

  13. End-in-mind/challenge • Sonic advertises that they have over 168,000 drink combinations. Is this correct? How many do they actually have? • Parameters: • 12 base drinks • 16 Add-ins • Max of 1 base drink and 6 add-ins

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