answersLogoWhite

0

We first make an assumption that you are picking 5 letters from 26. If this is not the case, the problem is different. This is covered at the end of the answer.

With repetition allowed (letters can be re-used), and order is not important since it is a combination (not a permutation), it is (26+5-1)!/(5!)(26-1)! This is a really big number!

If it were a permutation with repetition, this is the same as the number of ways to pick 5 things from 26 with replacement. There are 26 choices for each letter, so you

have 26x26x26x26x26 permutations.

No repetition, order is important, it is 26! / (26-5)! = 26 x 25 x 24 x 23 x 22 = 7,893,600

No repetition, order doesn't matter (ABCDE is the same as EDCBA is the same as CEDAB, etc), it is 26! / (5!(26-5)!) = (26 x 25 x 24 x 23 x 22)/(5 x 4 x 3 x 2 x 1) = 65,780

What if you just have 5 letter already picked. Meaning you are not worried about picking the 5 from the alphabet, you already have 5 fixed letter. Some may be the same letter or not.

If you allow for repetition of the letters, you have 5x5x5x5x5 permutations.

For combinations, it would be 11!/5!4!=7983360

MOST LIKELY, you just have 5 distinct letters and you want to arrange them where order does matter and you cannnot repeat.

In this case you have 5 choices for the first letter, 4 for the second, 3 for the third etc. So you have 5! or 120 choices.

Of course if you have 5 things and the order does not matter, there is only 1 way to arrange them. For example. ABCDE is the same as ABEDC.

So in dealing with combinations and permuations, the language must be quite exact. A small difference changes the entire problem.

See related MathsIsFun link for more information.

User Avatar

Wiki User

14y ago

What else can I help you with?

Related Questions

How many combinations can you make with 5 letters when letters can be repeated?

7,893,600 (seven million, 8 hundred ninety-three thousand, 600) combinations in English.


How many combinations are there with 5 letters?

120 ABCDE , there are 120 ways these five letters can be rearranged.


How many combinations can you make with the numbers 2 3 6 7 and 8?

You can make 5 combinations of 1 number, 10 combinations of 2 numbers, 10 combinations of 3 numbers, 5 combinations of 4 numbers, and 1 combinations of 5 number. 31 in all.


How many 1 letter and 1 number combinations can be made from 5 numbers and 4 letters?

20


How many 4 number combinations are there in the numbers 0 to 5?

The first digit can be one of five integers (1 to 5) The second - fourth digits one of six integers (0 to 5). So: number of (valid) combinations is 5*6*6*6=1080 * * * * * This gives the number of permutations, not combinations. I am working on the latter.


How many four letter words can you make using these letters olvge?

To find the number of four-letter words that can be created from the letters in "olvge," we first note that there are 5 unique letters. We can choose 4 letters from these 5 in ( \binom{5}{4} = 5 ) ways. Each selection of 4 letters can be arranged in ( 4! = 24 ) different ways. Therefore, the total number of four-letter combinations is ( 5 \times 24 = 120 ).


How many combinations of three can you make with 5 choices?

5C3 = 10


How many five number combinations can you make from 5 numbers?

Only one.


How many different combinations can you make with 5 squares?

one hundred and twenty


John has 5 spoons and 4 forks How many different combinations of silverware could he make?

20 different combinations of silverware


How many combinations of outfits can you make with 3 skirts and 5 jackets?

3 x 5 = 15


How many words can you make with the letters ueasm?

5

Trending Questions
What is the greatest number of 50000? How do you find standard deviation using a calculator? Ralph likes 25 but not 24 he likes 400 but not 300 he likes 144 but not 145 Why does he like 200? What if your hcg count is 2500 how many weeks pregnant would you be? On a true 0r false test what is the probability of answering a question correctely if you make a random guess? How long after an ivf transfer will results show up on a hpt? What are some of the limitation of statistics? What does collect mean in mathematical terms? A boy has 4 red and 4 yellow and 5 green marbles In how many ways can the boy arrange the marbles in a line if all marbles of the same color are indistinguishable? How do you establish valid test questions? What is a visual representation of a data used to convey information in an attractive manner called? You had your period 2 weeks ago but only bleed for 2 days stopped and then started to bleed again but then stopped 10 mins later could you be pregnant? If there are 3 red 4 blue and 5 yellow marbles what is the probability of pulling a red or blue marble vs the probability of pulling a red marble the first time and a blue marble the second time? What is the value of the binomial coefficient for 500 choose 100? What is 37 rounded to the nearest 100? Whats the square root of 51? What are the four numbers have the smallest possible standard deviation? What are all the multiples of 3 from 1 to 100? What does average rainfall mean? How many should you mastrsbrate for a month?