To calculate the number of k elements of part of a set of n elements.

combination(`5;3`), returns 10

combination(`5;3`), returns 10

To calculate the number of k elements of part of a set of n elements.

The calculator used to calculate online the **number of combination of a set of k elements from n elements**.
A **combination** of a set of k elements among n elements calculation as follows:
`"n!"/"p!(n-p)!"`. The sign ! represents the
factorial
function.
Ie the number of combination of a set of k among n elements elements equals the number of
permutation
divided by p!. This number of combination is the
binomial coefficient
.

- Calculating combination of a set

The calculator is able to **calculate the number of combination of a set** of k elements from n elements
with the results in exact form : for example, to calculate the number of combinations of a set of 3 elements from the 5 elements, enter
combination(`5;3`),
after calculation, the result is returned.

combination(n;k), where n and k are integers

combination(`5;3`), returns 10

See also

- Number of arrangement of a set calculator : arrangement. To calculate online the number of arrangement of p elements of a set of n elements.
- Calculation of binomial coefficients : binomial_coefficient. A binomial coefficient calculator that allows you to calculate a binomial coefficient from two integers.
- To count the number of combinations : combination. To calculate the number of k elements of part of a set of n elements.
- Base-n converter : base_converter. The calculator allows you to make decimal, binary, hexadecimal conversions, and more generally to any base n between 2 and 36.
- Prime factorization calculator : prime_factorization. The function prime_factorization is used to calculate online the decomposition of an integer into prime factors.
- Quotient and remainder calculator : euclidean_division. The calculator allows to find online the quotient and the remainder in the euclidean division of two polynomials or two integers.
- Parity of a number : is_odd. Is_odd function returns true if the number passed is odd, false otherwise.
- Parity of a number : is_even. Is_even function returns 1 if the number is even, 0 otherwise.
- Factorial calculator : factorial. The factorial of a natural number n is the product of the positive integers less than or equal to n. The factorial calculator allows you to find this number.
- Integer calculations : integer_functions. This calculator allows you to apply special functions to an integer: prime_factorization, base_converter, factorial, percentage, permutation, perimeter, is_even, is_odd.
- 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.