Fundamental Counting Principle Calculator

Multiply the number of choices at each stage to count total outcomes.

Total outcomes 24

Formula: total = n₁ × n₂ × … × nₖ

Step-by-step with your numbers:

1. Values used:

2. Choices stage 1 = 3

3. Choices stage 2 = 4

4. Choices stage 3 = 2

5. Choices stage 4 = 0

7. Total outcomes = Choices stage 1 x Choices stage 2 x Choices stage 3 = 3 x 4 x 2 = 24

Did we solve your problem today?

If one choice has m options and the next has n options, together they have m × n combinations.

The math behind it

Multiply the number of independent choices at each stage. Leave a stage at 0 to ignore it.

3 shirts × 4 pants × 2 shoes = 24 outfits.

Does order matter here?

This principle counts ordered combinations of independent choices; for arrangements of one set use permutations.