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Combinations and Permutations Calculator

Calculate combinations (nCr) and permutations (nPr), with or without replacement, for counting and probability problems. Use it for lottery odds, team selection, and combinatorics assignments.

Total Items (n) (items)

Items Selected (r) (items)

Calculation Type

With Replacement

Fill in the required fields to see your result.

Probability

Hypergeometric Distribution Calculator

Calculates exact probabilities when drawing items from a finite population without replacement. Use it in quality control, card games, or any scenario where sampling changes remaining proportions.

Population Size (N) (items)

Success States in Population (K) (items)

Sample Size (n) (items)

Observed Successes (k) (items)

Probability Type

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Key differences

	Combinations and Permutations Calculator	Hypergeometric Distribution Calculator
Category	Probability	Probability
Inputs required	4	5
Result	Result (ways)	Probability
What it does	Calculate combinations (nCr) and permutations (nPr), with or without replacement, for counting and probability problems. Use it for lottery odds, team selection, and combinatorics assignments.	Calculates exact probabilities when drawing items from a finite population without replacement. Use it in quality control, card games, or any scenario where sampling changes remaining proportions.