Español | Português
  1. Home
  2. Calculators
  3. Calculators: Discrete Mathematics
  4. Discrete Mathematics Calculator

Find $$$C{\left(53,6 \right)}$$$

The calculator will find $$$C{\left(53,6 \right)}$$$, with steps shown.
Optional and can be comma-separated.

If the calculator did not compute something or you have identified an error, or you have a suggestion/feedback, please write it in the comments below.

Your Input

Find the number of combinations without repetitions $$$C{\left(53,6 \right)}$$$.

Solution

The formula is $$$C{\left(n,r \right)} = \frac{n!}{r! \left(n - r\right)!}$$$.

We have that $$$n = 53$$$ and $$$r = 6$$$.

Thus, $$$C{\left(53,6 \right)} = \frac{53!}{6! \left(53 - 6\right)!} = 22957480$$$ (for calculating the factorial, see factorial calculator).

Answer

$$$C{\left(53,6 \right)} = 22957480$$$