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Combinations and Permutations Calculator

Calculate combinations and permutations step by step

The calculator will find the number of permutations/combinations, with/without repetitions, given the total number of objects and the number of objects to choose. It will also generate the list of r-combinations (r-permutations) from the given list, with steps shown.

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Your Input

Find the number of permutations with repetitions $$$\tilde{P}{\left(11,6 \right)}$$$.

Generate the list of 6-permutations with repetitions of {}.

Solution

The formula is $$$\tilde{P}{\left(n,r \right)} = n^{r}$$$.

We have that $$$n = 11$$$ and $$$r = 6$$$.

Thus, $$$\tilde{P}{\left(11,6 \right)} = 11^{6} = 1771561$$$.

Now, deal with the list.

The number of elements in it is $$$0$$$; thus, $$$n = 0$$$ and $$$r = 6$$$.

The number of elements in the generated list is $$$\tilde{P}{\left(n,r \right)} = n^{r}$$$.

Thus, $$$\tilde{P}{\left(11,6 \right)} = 0^{6} = 0$$$.

Answer

$$$\tilde{P}{\left(11,6 \right)} = 1771561$$$

The number of elements in the generated list is $$$0$$$A.

The generated list is .