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

combination online

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.

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

See also

- Amplitude of a complex number : amplitude. Amplitude function calculates online amplitude of a complex number.
- Countdown maths solver : arithmetic_solver. This solver allows finding a target number from a set of integer in using arithmetic operations.
- Number of arrangement of a set calculator : arrangement. To calculate online the number of arrangement of p elements 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.
- 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.
- Complex conjugate calculator : complex_conjugate. Complex_conjugate function calculates conjugate of a complex number online.
- Complex modulus calculator : complex_modulus. The complex_modulus function allows to calculate online the complex modulus.
- Complex number calculator : complex_number. The complex number calculator allows to perform calculations with complex numbers (calculations with i).
- Solving quadratic equation with complex number : complexe_solve. The complex number equation calculator returns the complex values for which the quadratic equation is zero.
- 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.
- 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.
- Gcd calculation online : gcd. GCD calculator that uses Euclid's algorithm to give the steps of the GCD calculation.
- Imaginary part of complex number : imaginary_part. The imaginary_part function calculates online the imaginary part of a complex number.
- Parity of a number : is_even. Is_even function returns 1 if the number is even, 0 otherwise.
- Parity of a number : is_odd. Is_odd function returns true if the number passed is odd, false otherwise.
- Least common multiple : lcm. LCM calculator to calculate the least common multiple (LCM).
- Permutation calculator : permutation. To calculate online the number of permutation of a set of n elements.
- Prime factorization calculator : prime_factorization. The function prime_factorization is used to calculate online the decomposition of an integer into prime factors.
- 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.
- Real part of complex number : real_part. The real_part function calculates online the real part of a complex number.

Numbers