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Math Calculators

Pascal's Triangle Calculator

Generate any row of Pascal's triangle, made up of binomial coefficients.

Row values
Sum of row
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About the Pascal's Triangle Calculator

Each row of Pascal's triangle lists the binomial coefficients for that row number, and each entry equals the sum of the two entries above it in the previous row.

Formula: entry k in row n = n! / (k! (n−k)!) = C(n, k), and the whole row always sums to 2n

Pascal's triangle is used to expand binomials, compute probabilities and count combinations.

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