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 many ways can you answer a true/false question?

Back

There are 2 ways to answer a true/false question: True (T) or False (F).

Front

If a quiz has 4 true/false questions, how many ways can you answer them?

Back

For 4 true/false questions, the number of ways to answer is 2^4 = 16.

Front

How many ways can you answer 3 multiple choice questions with 4 options each?

Back

For 3 multiple choice questions, the number of ways to answer is 4^3 = 64.

Front

What is the total number of ways to answer a quiz with 4 true/false and 3 multiple choice questions?

Back

Using the Fundamental Counting Principle: 16 (true/false) × 64 (multiple choice) = 1024 ways.

Front

What is a combination in the context of choices?

Back

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

Front

How many combinations are there for choosing 1 sandwich from 3 options and 1 drink from 2 options?

Back

Using the Fundamental Counting Principle: 3 (sandwiches) × 2 (drinks) = 6 combinations.

Front

If you roll two dice, how many possible outcomes are there?

Back

There are 6 sides on each die, so the total outcomes are 6 × 6 = 36.

Front

If you roll a die and flip a coin, how many possible outcomes are there?

Back

There are 6 outcomes from the die and 2 from the coin, so total outcomes are 6 × 2 = 12.

Front

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

Back

Using the Fundamental Counting Principle: 5 (jeans) × 8 (t-shirts) × 2 (shoes) = 80 outfits.