Permutation And Combination

Permutations count ordered arrangements, while combinations count selections where order does not matter. Formula: nPr = n! ÷ (n−r)!; nCr = n! ÷ [r!(n−r)!]

Enter the value of n:

Enter the value of r:

Result:

Calculate Permutations and Combinations

Permutations count ordered arrangements, while combinations count selections where order does not matter.

Formula: nPr = n! ÷ (n−r)!; nCr = n! ÷ [r!(n−r)!]

Write the inputs in the form required by the formula and check the result with a small reference case. For equations and statistics, make sure the selected convention matches the problem you are solving.

Substitute the same inputs into the displayed formula and compare the calculated value with the result shown by the tool.

References:

Frequently Asked Questions FAQ

What does Permutation And Combination calculate?

Permutations count ordered arrangements, while combinations count selections where order does not matter.

What is the formula for Permutation And Combination?

The formula used by the calculator is: nPr = n! ÷ (n−r)!; nCr = n! ÷ [r!(n−r)!]

What inputs does Permutation And Combination need?

Enter the selected values for n and r, then choose whether the calculation requires permutations, combinations, or both.

How can I verify the Permutation And Combination result?

Substitute the same inputs into the displayed formula and compare the calculated value with the result shown by the tool.

How should I round the Permutation And Combination result?

Keep exact values such as fractions or radicals when useful, and round only the final numerical result when a decimal answer is required.

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