Fundamental Counting Principle

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.

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

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

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

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

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

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

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

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

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