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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

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Probability

Hypergeometric Probability Calculator

Calculate the exact probability of drawing exactly k successes from a finite population without replacement. Ideal for quality control sampling, card game odds, and any scenario where items are not returned to the pool after selection.

Population Size (items)

Success States in Population (items)

Sample Size (draws)

Observed Successes (successes)

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Key differences

	Combinations and Permutations Calculator	Hypergeometric Probability Calculator
Category	Probability	Probability
Inputs required	4	4
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.	Calculate the exact probability of drawing exactly k successes from a finite population without replacement. Ideal for quality control sampling, card game odds, and any scenario where items are not returned to the pool after selection.