## How do you find the number of possible combinations?

Combinations are a way to calculate the total outcomes of an event where order of the outcomes does not matter.

To calculate combinations, we will use the formula nCr = n!

/ r!

* (n – r)!, where n represents the total number of items, and r represents the number of items being chosen at a time.

## How many combinations of 4 items are there?

If I’ve remembered this correctly, this is a problem that can be solved using a factorial function? I.e. there are 4 objects, so the total number of possible combinations that they can be arranged in is 4! = 4 x 3 x 2 x 1 = 24.

## What are all the possible combinations of 1234?

If you wager on 1234 boxed, you would win if any of the following combinations were drawn: 1234, 1243, 1324, 1342, 1423, 1432, 2134, 2143, 2314, 2341, 2413, 2431, 3124, 3142, 3214, 3241, 3412, 3421, 4123, 4132, 4213, 4231, 4312, or 4321.

## How many combinations of 10 items are there?

The number of ways in which we can get such 1-digit numbers is the combination of 10 items taken 1 at a time = C(10, 1). = (1 + 1)^10 – 1 = 2^10 – 1 = 1024 – 1 = 1023.