10.1 Fundamental Counting Principle

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 do both.

Front

How do you calculate the total number of meal combinations if you have multiple categories?

Back

Multiply the number of choices in each category together.

Front

If you have 6 appetizers, 22 entrees, and 3 desserts, how many meal combinations can you create?

Back

396 (6 × 22 × 3 = 396).

Front

What operation do you use with the Fundamental Counting Principle?

Back

Multiplication.

Front

If Cher has 30 shirts, 6 skirts, and 45 pairs of shoes, how many outfits can she create?

Back

8,100 (30 × 6 × 45 = 8,100).

Front

What is the formula to find the number of combinations when choosing items from different categories?

Back

Total combinations = (Choices in Category 1) × (Choices in Category 2) × ...

Front

How many ways can you choose 1 type of potato, 3 different toppings from 22 options, and 1 sauce from 3 options?

Back

55,440 (1 × 22C3 × 3 = 55,440).

Front

What does 'C' represent in combinations?

Back

'C' represents combinations, which is the number of ways to choose items without regard to the order.

Front

If you can repeat choices, how does that affect the total combinations?

Back

If choices can be repeated, multiply the number of choices for each selection.

Front

What is the difference between combinations and permutations?

Back

Combinations are selections where order does not matter, while permutations are arrangements where order does matter.