Created By : Vaibhavi Kumari
Reviewed By : Rajashekhar Valipishetty
Last Updated : Mar 21, 2023

With the help of our simple Combination Calculator tool, you can display the number of possible combinations in a fraction of seconds. To get instant outcomes you need to give the n, r as inputs in the input fields and click on the calculate button provided below input fields.

Total Number of Objects(n)
Sample Size(r)
Combinations Without Repetitions
Combinations With Repetitions

How to Calculate the Combinations ?

Normally, Combination is described as the number of possible combinations in which you can select r elements from the set of n elements. In combinations, the order is not a factor, and repetitions are also not allowed. Here we can use the formula to complete the combinations in less time.

nCr = C(n,r) = n!/(r!(n-r)!) for n ≥ r ≥ 0

Combination using Permutation Formula is C(n, r) = P(n,r)/ r!


C(n,r) is the number of Combinations

n = total number of elements in the set

r = number of elements chosen from the set

'!' represents the factorial.

Example: If you are asked to choose 3 balls from the box of 10 balls how many different combinations you can choose?


Given input data r = 3, n = 10

Use Combination Formula

nCr = n!/(r!(n-r)!) for n ≥ r ≥ 0

Substitute the n, r values in the formula

10C3 = 10!/(3!(10-3)!)

= 10!/(3!*7!)

= 120

Therefore, you have 120 different combinations to choose 3 balls from the box of 10 balls.

We have different concepts similiar to combinations. Use our online calculators available at and clarify your concerns.

FAQs on Combinations Calculator

1. How do I calculate the combinations?

Combinations can be calculated using the formula C(n,r) = n!/(r!(n-r)!)

2. What do you mean by Combinations?

Combinations can be defined as the number of combinations in which you can choose r elements out of a set containing n number of objects.

3. How to use the Combination Calculator?

Just enter the no. of objects and no. of samples as inputs and tap the calculate button and get the answer in split seconds.

4. Define n and r in combinations?

In combinations, n represents the total number of objects, r is the number of items chosen at a time.