10.1 Fundamental Counting Principle

What operation do you use with the Fundamental Counting Principle?

• Addition

• Subtraction

• Multiplication

• Division

Cher is deciding what outfit she wants to wear for the day. She has 30 shirts and 6 skirts that pair perfectly with those shirts. I forgot to mention, she also has 45 pairs of shoes to choose from. How many outfits are possible if she has to choose 1 shirt, 1 skirt, and 1 pair of shoes?

• 81

• 180

• 8,100

• 16,200

If you flip a coin 7 times how many different possibilities are there? (Ex. 6 H 1 T or 4H 3T)

• 64

• 12

• 128

• 200

You are going out to dinner by yourself and decide to order an appetizer, entree, and dessert. There are 6 appetizers, 22 entrees, and 3 desserts. How many possible meals combinations are there if you order one from each category?

• 396

• 31

• 422

• 264

You are going out to dinner with a date and decide to order an appetizer, 2 entrees, and a dessert. There are 6 appetizers, 22 entrees, and 3 desserts. How many possible meals combinations are there if you order one appetizer, 2 entrees, and one dessert? (Entrees can be repeated. That is acceptable on a date!)

• 396

• 792

• 8316

• 8712

A supersized pad lock for your locker has 60 numbers on it. In order to open it you need the correct three numbers in the correct sequence. If you are not allowed to use the same number twice, how many combinations are there?

• 216,000

• 205,320

• 205,379

• 195,054

You are at the Silver Legacy enjoying the 22 topping potato bar. They also have two types of potatoes to chose from as well as three sauces to chose from. If you get one type of potato, one topping, and one sauce, how many possibilities are there?

• 88

• 64

• 132

• 164

You are at the Silver Legacy enjoying the 22 topping potato bar. They also have two types of potatoes to chose from as well as three sauces to chose from. If you get one type of potato, three different toppings, and one sauce, how many possibilities are there?

• 396

• 55,440

• 63,888

• 24,500

You go to check out three books at the library, and you want one history book, one science book, and one fantasy book.

The library has 50 history books, 95 fantasy novels, and 30 books about science. How many combinations of books do you have to choose from?

• 136,300

• 218,080

• 427,500

• 142,500

You go to check out four books at the library, and you want one history book, two science books, and one fantasy book.

The library has 50 history books, 95 fantasy novels, and 30 books about science. How many combinations of books do you have to choose from?

• 4,275,000

• 4,132,500

• 3,427,500

• 1,042,500