Show:
Pizza Hut
Big Cheese
**Things to Cover**
Fashionista
Formula
100
There is a Monday special: $5.95 small pie with one topping. There are 13 different toppings. How many different small pies could someone get on a Monday for $5.95?
13 different pies
100
You're the founder of an extremely large cheese company (yum). You are hiring new employees. You have 7 interviews, and only 5 slots. How many different combinations of new employees can you have?
21 different combinations of new employees.
100
What is a combination?
An arrangement of outcomes where order doesn't matter. Selecting things out of a group. n! over r!(n-r)!
100
You have 3 shirts and 2 pairs of shorts. How many different combinations of clothing could you have?
you can have 6 different combinations
100
What is the notated form of the combination formula?
nCr
200
Pizza Hut is having Super Topping Spectacular! You get to pick 2 out their 8 toppings for free! If the customer chooses two toppings, how many possible combos are there?
28 combos
200
You need to pick a panel of 6 supervisors that are going to visit your franchise branches. You are deciding between 9 people. How many combination could you choose?
There are 168 combinations.
200
Let's say you're getting a two-scoop sundae and there are 3 flavors of ice cream to choose from: strawberry, chocolate and vanilla. How many different groupings of ice cream could you have.
The answer could be 3, OR the answer could be 6. Six would be the answer if you doubled up, chocolate-chocolate, vanilla-vanilla, etc. There are two different types of combinations; ones with repetition, one's without. We (in class) focussed on those without.
200
The mall has 12 clothing stores, you only have time to shop a four of them (oh the horror). How many sequences of stores can you "hit up?"
You could go to 495 combinations of stores.
200
What does the "n" stand for the in the formula?
n= the number of things we choose from
300
You can only have 3 toppings per pizza. The possible choices are mushrooms, sausage, peppers, onions, olives and pineapple. How many different pizza topping combinations are possible?
There are 20 different possible pizzas.
300
The owner of the company is moving into "Heaven's Waiting Room," an old folks' home in Florida. He is leaving the company in the hands of co-presidents that he will choose from 7 different managers. How many co-president PAIRS could he have?
21 different pairs
300
Hmmmm ... what fields might use combinations?
Pizza "industry," Managers/CEO/anyone in charge, Florists, Fashionistas
300
A man has six sport jackets, eight shirts, and four pairs of dress pants. How many choices of outfits, consisting of one sports jacket, one shirt, and one pair of pants are possible?
192!!!!!!
300
What does the "r" symbolize in the formula?
r= the number of things we choose (slots/places to be filled)
400
Out of a selection of 15 different cheeses, Molly wants to choose four to put on her pizza. How many different combinations of cheeses could Molly get?
1365 different cheese blends!
400
The company wants to expand. Out of 24 different possible locations you need to pick 18. How many different combinations of places could you choose?
134596 location possibilities
400
Real World Problem: A florist is putting together the bouquets for a wedding. She needs to know how many combinations of each flower to put in them. Remember: n! over r!(n-r)!
n=the number of flower choices r=the number of flower "slots," (or how many she can choose.) With this information the florist can find the most attractive, color-coordinated bouquets for the wedding.
400
Ken is doing a fashion show. He's planned out 9 things to wear down the runway but he can only pick 7. How many different combinations can he make?
he can make 36 different combinations
400
What is the full combination formula?
n! over r!(n-r)!
500
Molly wants to change her order! In addition to the four cheeses on top, she wants to get three new cheeses stuffed in the crust. How many new combinations of crust cheeses does Molly have to choose from?
Molly must choose from 715 possibilities.
500
The company needs a new mascot. You have four to choose from: a mouse, a cat, a cow or a goat. But you also have to choose a catchy slogan out of the four slogans that you have. How many different combinations of characters and slogans can you make?
You can have 16 different combinations
500
DIYTS: You're significant other is taking you to a ski resort in the Upstate New York. You need to pick out 4 outfits, of the 7 that are already on you bedroom floor. How many different combinations of outfits can you choose? YOU HAVE 2 MINUTES, GO!
YOU have a possible 35 different outfit combos!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
500
Barbie is planning on doing the fashion show too, but she is having trouble deciding what shoes to wear. If she has 7 outfits and 16 pairs of shoes, how many possible combinations of shoe-outfit, are there?
Barbie must decide between a total of 11440 combos of shoes and outfits!!!!!
500
What is the combination formula that accounts for repetition?
(n+r-1)! over r!(n-1)!