# Combination Calculator

**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.

### 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!**

Where,

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?**

**Solution:**

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 probabilitycalculator.guru 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.