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 perform both actions.

Front

How many ways can you arrange 5 different cupcakes in a row?

Back

120 ways (5! = 5 × 4 × 3 × 2 × 1 = 120).

Front

What is a sample space in probability?

Back

A sample space is a list of all possible outcomes of a random experiment.

Front

If a quiz has 3 questions with 4 options each, how many ways can you answer the quiz?

Back

64 ways (4^3 = 4 × 4 × 4 = 64).

Front

How many different 4-digit codes can be formed using different numbers from 0-9?

Back

5,040 different codes (10 × 9 × 8 × 7 = 5,040).

Front

What is a permutation?

Back

A permutation is an arrangement of objects in a specific order.

Front

What is a combination?

Back

A combination is a selection of items without regard to the order.

Front

If you can choose 1 out of 8 meats, 1 out of 4 cheeses, 2 crust types, and 2 sauces for a pizza, how many different pizzas can you create?

Back

128 different pizzas (8 × 4 × 2 × 2 = 128).

Front

What is the formula for calculating permutations of 'n' items taken 'r' at a time?

Back

The formula is P(n, r) = n! / (n - r)!.

Front

What is the formula for calculating combinations of 'n' items taken 'r' at a time?

Back

The formula is C(n, r) = n! / [r!(n - r)!].