Fundamental Counting Principle Calculator

Your details

How many independent decisions or stages to count across.
Positive whole number: how many options are available at this stage.
Positive whole number: how many options are available at the second stage.
Positive whole number: how many options are available at the third stage.
Positive whole number: options at the fourth stage.
Positive whole number: options at the fifth stage.
Positive whole number: options at the sixth stage.
Total possible outcomes
24

Product of all active event choice counts

Events multiplied3
log₁₀ of total1.38
Total outcomes24
Events counted3

24 total possible outcomes across 3 events.

  • 24 outcomes is manageable to verify, but writing them all out would take a few minutes.
  • Event 1 (4 choices) has the biggest individual contribution to the product.
  • Adding one more event with just 3 choices would raise the total to 72.

Next stepYou can verify this result with a tree diagram: start from one node, branch into the choices for event 1, then branch each of those into the choices for event 2, and so on. The number of leaf nodes equals the total.

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