Math 2C 10.1, 10.2, 10.3 Review

Front

How many outfits can be created with 5 pairs of jeans, 8 t-shirts, and 2 pairs of shoes?

Back

80 outfits (5 jeans * 8 t-shirts * 2 shoes = 80)

Front

How many different versions of a car model can be created with 4 trim levels, 5 colors, and 3 interiors?

Back

60 versions (4 trims * 5 colors * 3 interiors = 60)

Front

How many ways can you listen to 3 songs from a CD with 12 selections?

Back

1320 ways (12! / (12-3)! = 1320)

Front

How many possible ways are there to place 18 runners in first, second, and third?

Back

4896 ways (18P3 = 18! / (18-3)! = 4896)

Front

How many different pizzas can be made with 8 meats, 4 cheeses, 3 crust types, and 2 sauces?

Back

192 pizzas (8 meats * 4 cheeses * 3 crusts * 2 sauces = 192)

Front

What is the formula for calculating combinations?

Back

C(n, r) = n! / (r!(n-r)!) where n is the total items, r is the items chosen.

Front

What is the formula for calculating permutations?

Back

P(n, r) = n! / (n-r)! where n is the total items, r is the items arranged.

Front

Define 'factorial' in mathematics.

Back

Factorial of a non-negative integer n, denoted as n!, is the product of all positive integers less than or equal to n.

Front

What is the difference between permutations and combinations?

Back

Permutations consider order; combinations do not.

Front

How do you calculate the total number of outfits from multiple categories?

Back

Multiply the number of options in each category together.