Combinations

At Smoothie Smash you are able to select five ingredients to put in your smoothie from 18 options.

Which expressions calculate the number of ways you can make a smoothie?

You go to the ice cream parlor as a little treat. There are 30 flavors of ice cream and 22 toppings. You decide to get 2 scoops and 3 different toppings. Which expression correctly determines the number of ways this can be done?

At The Final Slice they offer an option for an extra large pizza with five toppings. There are twelve toppings to choose from. You are allowed to order the same topping up to five times. Therefore, it's acceptable to order a quintuple-pepperoni pizza or a pizza with triple mushrooms and double sausage, if you so choose.

How many ways can you order a pizza?

• 3045

• 2761

• 3982

• 4368

From a group of five men and four women, how many committees of five people can be formed with exactly three women?

• 40

• 36

• 42

• 45

From a group of six men and seven women, which expression calculates how many committees of four people can be formed with equal number of men and women?

There are millions of blue, yellow, black, red, purple, green, orange, and white marbles in a very large barrel. How many ways can you randomly select 14 marbles to toss in a sack?

• 20,456

• 116,280

• 334,960

• 46,272

• 99,990