# What is the formula to find the possible combinations?

## What is the formula to find the possible combinations?

Remember, the formula to calculate combinations is nCr = n! / r! * (n – r)!, where n represents the number of items, and r represents the number of items being chosen at a time. Let’s look at an example of how to calculate a combination. There are ten new movies out to rent this week on DVD.

## How many combinations of letters are possible?

The number of possible combinations that are possible with 26 letters, with no repetition, is 67,108,863.

How many 5 letter combinations are there?

The different arrangements of five letters that can be made from 26 letters of the alphabet are 7,893,600 ways.

How many possible combinations of 3 letters are there?

26⋅26⋅26=263=17576. If you want the letters to be unique, the calculation changes slightly.

### How many combinations of n items are there?

The number of combinations of n distinct objects, taken r at a time is: Cr = n! / r! (n – r)! Thus, 27,405 different groupings of 4 players are possible.

### How many 4 letter combinations can be made from the alphabet?

There are 4! words made from the exact set of 4 distinct letters, so we must divide the total by 4! to get the single word that is in alphabetical order. Thus: (26×25×24×23)/4! total = 14950.

How many ways can you arrange 26 letters?

67,108,863 ways
26 letters can be arranged in 67,108,863 ways without any repetition of letters.

How many ways can 4 letters be arranged?

The answer is 4! = 24. The first space can be filled by any one of the four letters.

#### How many possible combinations of 3 alphanumeric characters are there?

1 Answer. 7770 triples of distinct alphanumeric characters.

#### What is the combination if’n 10 and r 3?

Plugging in our numbers of n = 10 and r = 3, we get 10 – 3)!

What is nC2 in combination?

nC2 is actually the number of combinations of 2 objects given n objects. N can be any integer greater than or equal to 2.

What is n in combination formula?

The combinations formula is: nCr = n! / ((n – r)! r!) n = the number of items.

## How many ways can ABCD be arranged?

24
Total possible arrangement of letters a b c d is 24.

## How many different ways can 4 letters be arranged?

How many ways can you arrange 26 letters into 3?

How many permutations of the 26 letters of the English alphabet do not contain the string make and sit?

The answer is 100 – 32 = 68. How many permutations of the 26 letters of the English alphabet do not contain any of the strings fish, rat, or bird? See Venn diagram. Start with the universe: 26!