A binomial coefficient calculator that allows you to calculate a binomial coefficient from two integers.

binomial_coefficient online

In mathematics, the **binomial coefficient** of two integers n and k is the number `(n!)/(k!(n-k)!`, with `k<=n`. This number can be noted
`((n),(k))` or `C_n^k`.

The **binomial coefficient calculator** allows you to calculate a binomial coefficient from two integers.
To **calculate the binomial coefficient** of two numbers n and k, the calculator uses the following formula: `(n!)/(k!(n-k)!`.
The steps of the calculation are specified.

For example, to **calculate the binomial coefficient** of the following two integers 5 and 3, simply enter
binomial_coefficient(`5;3`),
and the calculator returns the result, which is 10.

The binomial coefficients intervene in particular in the
expansion of algebraic expression with Newton's binomial formula
or in probability with combinatorics or combinations.
One of the specific features of the **binomial coefficients calculator is to indicate the different calculation steps** that allow to find the result.

binomial_coefficient(n;k), n and k are integers.

binomial_coefficient(5;3), returns 10

Calculate online with binomial_coefficient (calculation of binomial coefficients)
See also

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- Calculation of binomial coefficients : binomial_coefficient. A binomial coefficient calculator that allows you to calculate a binomial coefficient from two integers.
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- Permutation calculator : permutation. To calculate online the number of permutation of a set of n elements.
- Gcd calculation online : gcd. GCD calculator that uses Euclid's algorithm to give the steps of the GCD calculation.
- Least common multiple : lcm. LCM calculator to calculate the least common multiple (LCM).
- Pythagorean theorem calculator : pythagorean. The calculator uses the Pythagorean theorem to verify that a triangle is right-angled or to find the length of one side of a right-angled triangle.
- Countdown solver : arithmetic_solver. This countdown solver allows finding a target number from a set of integer in using arithmetic operations.