12/11 AMDM: Unit 1 & Unit 2b (review for final exam)

Front

What is the Fundamental Counting Principle?

Back

The Fundamental Counting Principle states that if there are 'm' ways to do one thing and 'n' ways to do another, then there are m × n ways to perform both actions.

Front

How many different ways can you choose one item from multiple categories?

Back

Multiply the number of choices in each category together.

Front

If an ice cream shop offers 20 flavors, 5 types of cones, and 3 scoop sizes, how many combinations can you create?

Back

300 combinations (20 flavors × 5 cones × 3 sizes = 300).

Front

What is a proportion in mathematics?

Back

A proportion is an equation that states that two ratios are equal.

Front

How do you solve a proportion?

Back

Cross-multiply the terms and solve for the unknown variable.

Front

If Sasha jars 25 liters of jam in 5 days, how much will she jar in 7 days?

Back

35 liters (25 liters/5 days = 5 liters/day; 5 liters/day × 7 days = 35 liters).

Front

What is a combination in probability?

Back

A combination is a selection of items where the order does not matter.

Front

What is a permutation in probability?

Back

A permutation is an arrangement of items where the order does matter.

Front

How do you calculate the total number of different pizzas at Papa John's?

Back

Multiply the number of choices for each category: 8 meats × 4 cheeses × 3 crusts × 2 sauces = 192 different pizzas.

Front

What is the formula for calculating combinations?

Back

C(n, r) = n! / (r!(n - r)!), where n is the total number of items, and r is the number of items to choose.