🎲 Combination Calculator (nCr)

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combination counts how many ways you can choose r items from a set of n when order does not matter — picking the same group in a different sequence counts once. This calculator returns the exact count, the formula, and the matching number of ordered arrangements (nPr) for comparison. Choosing none or all gives nC0 = nCn = 1, and as with permutations, r cannot exceed n. A combination counts how many ways you can choose r items from a set of n when order does not matter — picking the same group in a different sequence.Combinations answer "how many groups?" —The formula is nCr = n! / (r! × (n − r)!). For 10 items taken 3 at a time there are 120 distinct groups.Combinations answer "how many groups?"Combinations answer "how many groups?" — the odds in a lottery, the number of possible five-card poker hands, ways to pick a committee, or terms in Pascal's triangle.The value nCr is called the "n choose r" numberCombinations answer "how many groups?" — the odds in a lottery, the number of possible five-card poker hands, the number of possible five-card poker hands, the number of ways to pick a committee, or the number of terms in Pascal's triangle.Combinations answer "how many groups?" — the odds in a lottery, the number of possible five-card poker hands, the number of ways to pick a committee, or the terms in a binomial expansion.Combinations answer "how many groups?" — the odds in a lottery, the number of possible five-card poker hands, the number of ways to pick a committee, or the terms in a binomial expansion.Combinations answer "how many groups?" — the odds in a lottery, the number of possible five-card poker hands, the number of ways to pick a committee, or the terms in a binomial expansion.Combinations answer "how many groups?" — the odds in a lottery, the number of possible five-card poker hands, the number of ways to pick a committee, or the number of terms in a binomial expansion.Combinations answer "how many groups?" — the odds in a lottery, the