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How many three letter combinations can you make from 4 letters?

From 4 letters, you can create three-letter combinations by selecting any 3 letters from the 4 and arranging them. The number of ways to choose 3 letters from 4 is given by the combination formula ( \binom{4}{3} = 4 ). Each of these combinations can be arranged in ( 3! = 6 ) ways. Therefore, the total number of three-letter combinations is ( 4 \times 6 = 24 ).


What is the total number of different four-letter arrangements that can be formed from the letters in the word vertical if each letter is used only once in an arrangement?

You have eight letters to work with, and can use any four of them, but only once per combination. That means that the total number of possible combinations you can make is: 8! / (8 - 4)! = 8! / 4! = 8 * 7 * 6 * 5 = 1680 So there are 1680 possible combinations.


How many 3 letter combinations are in ahtm?

There are four different groups of three, each of which can be arranged in six different ways so your answer is 24.


What are the number of different ways you can arrange the letters MORGAN?

The first letter can be any one of the 6 letters. For each of those . . .The second letter can be any one of the remaining 5 letters. For each of those . . .The third letter can be any one of the remaining 4 letters. For each of those . . .The fourth letter can be any one of the remaining 3 letters. For each of those . . .The fifth letter can be any one of the remaining 2 letters.The total number of different ways they can be arranged is (6 x 5 x 4 x 3 x 2) = 720 .


If you have 5 letters how many combinations can you make?

Suppose the 5 letters are A, B, C, D and E. The letter A can either be in the combination or not: 2 options for A. With each of these options, B can either be in the combination or not: 2 options for B - making 2*2 options so far. With each of the options so far, C can either be in the combination or not: 2 options for C - making 2*2*2 options so far. and so on. So for 5 letters there are 25 = 32 combinations. However, one of these is the combination that excludes each of the 5 letters - ie the null combination. Excluding the null combination gives the final answer of 31 combinations.

Related Questions

How many license plate combinations from 3 digits followed by 3 letters?

There are 26 different letters that can be chosen for each letter. There are 10 different numbers that can be chosen for each number. Since each of the numbers/digits that can be chosen for each of the six "spots" are independent events, we can multiply these combinations using the multiplicative rule of probability.combinations = (# of different digits) * (# of different digits) * (# of different digits) * (# of different letters) * (# of different letters) * (# of different letters) = 10 * 10 * 10 * 26 * 26 * 26 = 103 * 263 = 1000 * 17576 = 17,576,000 different combinations.


How could you find the number of different combinations of six letters in a computer password?

When trying to work out how many different combinations there are, you need to know how many options there are for each value. If the password only contains lower case letters, then we have 26 options for each value. For each letter in the password, there are 26 options, so the total number of possible options is 26x26x26x26x26x26 or 266 This equals 308,915,776 so there are 308,915,776 possible different combinations of six letters.


A set of signs each standing for a single sound in a language?

Letters. Each letter is supposed to stand for its own sound. Sometimes in English different combinations change which sound the letter represents, but basically letters stand for a certain sound.


What letters were taken out of the spanish language in the 90's?

Ch (Che) Ll (Elle) Rr (Erre) These are now considered letter combinations. Up until this change the official Epanish alphabet had a different letter for each sound in the language. The Erre, Elle and Che letters were always letter combinations but they were taught as their own letter in school since they have a unique sound.


How many three letter combinations can you make from 4 letters?

From 4 letters, you can create three-letter combinations by selecting any 3 letters from the 4 and arranging them. The number of ways to choose 3 letters from 4 is given by the combination formula ( \binom{4}{3} = 4 ). Each of these combinations can be arranged in ( 3! = 6 ) ways. Therefore, the total number of three-letter combinations is ( 4 \times 6 = 24 ).


How many different combinations can be made from a combination of 3 letters and 3 nuimbers?

Taking this bit by bit... For each number there are 10 possibilities so three numbers has 10^3 which is 1000 for each letter there are 26 choices, so for three letters you have 26^3 which is 17576 together there are 17576 * 1000 options which makes 17576000 possible combinations of letters and numbers and I suspect that is what you want. However if the order of the combination is important you must take into account the position of each letter/number and remove duplicate combinations. Good luck with that


How many 3 letter combinations?

Oh, dude, there are like 26 letters in the alphabet, right? So, for each position in a 3-letter combination, you have 26 choices. That means you'd have 26 choices for the first letter, 26 for the second, and 26 for the third. So, the total number of 3-letter combinations would be 26 x 26 x 26, which is... math.


How many different four letter words can be made from the alphabet if the first two letters come from the first half of tha alphabet and the second two letters come from the second half of the alphabe?

The first half of the alphabet consists of 13 letters (A-M), and the second half consists of another 13 letters (N-Z). For the first two letters, you can choose any of the 13 letters for each position, giving (13 \times 13 = 169) combinations. For the last two letters, you also have 13 choices for each, resulting in another (13 \times 13 = 169) combinations. Therefore, the total number of different four-letter words is (169 \times 169 = 28,456).


How many different license plates exist if each license plate contains 3 letters and 4 numbers and all four numbers are even?

384,475,000 license plates. There are 35 different letter/number combinations possible. Each combination has 10,985,000 variants. 35*10,985,000 = 384,475,000


How many 3 letter combinations from 22 letters?

The first letter can be any one of 22. For each of these ...The second letter can be any one of the remaining 21. For each of these ...The third letter can be any one of the remaining 20.So the number of different 3-letter line-ups is (22 x 21 x 20) = 9,240.That's the answer if you care about the sequence of the letters, i.e. if you call ABC and ACB different.If you don't care about the order of the 3 letters ... if ABC, ACB, BAC, BCA, CAB, and CBA are allthe same to you, then there are six ways to arrange each group of 3 different letters.Then the total number of different picks is (9,240/6) = 1,540.


What is the total number of different four-letter arrangements that can be formed from the letters in the word vertical if each letter is used only once in an arrangement?

You have eight letters to work with, and can use any four of them, but only once per combination. That means that the total number of possible combinations you can make is: 8! / (8 - 4)! = 8! / 4! = 8 * 7 * 6 * 5 = 1680 So there are 1680 possible combinations.


How many 3 letter combinations are in ahtm?

There are four different groups of three, each of which can be arranged in six different ways so your answer is 24.