Combinations.  End-in-mind/challenge  Sonic advertises that they have over 168,000 drink combinations. Is this correct? How many do they actually have?

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Presentation transcript:

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

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

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)

 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?

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

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

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

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

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

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

 10.2 Assignments

 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