ICAP Unit 4 Review

Always ask yourself ________ = order matters ________ = order doesn't matter

Mathematical Equivalence

OFF

Choosing ___ objects from ____

Joe has one book each for algebra, geometry, history, psychology, Spanish, English and physics in his locker. If he chooses three books from his locker, how many different sets of three books could he choose?

Mathematical Equivalence

OFF

I won a trip for four to the Super Bowl. I can bring three of my friends. I have 8 friends. In how many ways can I form my Super Bowl party?

A lock has 5 buttons numbered 1-5. The lock opened by pushing two buttons simultaneously and then pushing one button alone. How many combinations are possible?

I want to read 4 books over the next month. My bookshelf has 12 books. In how many ways can I choose which books to read over the next month, without regard to the order that I read them?

How many triangles can be formed by using the vertices of a regular dodecagon (a 12-sided polygon)?

The sundae bar at Lizzie's favorite restaurant has 5 toppings: hot fudge, sprinkles, walnuts, cherries, and whipped cream. Her dad is kind of strict through and will only let her choose at most two toppings. In how many different ways can Lizzie top her sundae?

The Aviation club at Sami's school has 12 members (including Sami). They need to choose a 3-person Helicopter Committee and a 4-person Glider Committee. Students can serve on either or both committees, but Sami refuses to serve on both- she will only serve on one or the other (or neither). In how many ways can both committees be chosen?