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nCr/nPr, coin flip odds, dice sum distribution, and card draw probability.
Combinations · C(n, r) — order doesn't matter
120
Permutations · P(n, r) — order matters
720
Calculate combinations (nCr) and permutations (nPr) with exact big-integer precision, plus real-world probability scenarios: binomial probability for coin flips, the full sum distribution for rolling multiple dice, and hypergeometric probability for card draws without replacement.
This tool provides instant calculations for combinations, permutations, and complex probability scenarios like binomial trials, dice roll distributions, and card draws. It utilizes exact big-integer precision to handle large numbers accurately without rounding errors. Being entirely browser-based, it requires no installation or account creation, offering quick access for both students and professionals.
Good to know: Users requiring advanced statistical modeling or regression analysis beyond basic combinatorics and probability distributions may need specialized statistical software.
Follow these steps to calculate complex combinations, permutations, and event probabilities with exact precision.
Select your desired calculation mode
Choose between combinations (nCr), permutations (nPr), or specific probability models like dice, coins, or cards.
Enter the required numeric values
Input your total items (n) and sample size (r), or define the number of dice and coin flips for your scenario.
Configure specific probability parameters
For card draws or binomial events, specify the number of successes required to calculate the hypergeometric or binomial distribution.
Review the calculated results
Analyze the big-integer precision results for combinations or the full distribution table for dice and coin scenarios.
Estimated time: PT1M
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