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The number of arrangements of the letters PARTY, if the first letter must be an A is the same as the number of arrangements of the letters PRTY, and that is 4 factorial, or 24.

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Q: How many ways can you arrange the letters PARTY if the first letter must be an A?
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How many different ways can you arrange 7 letter words?

The best way to think of this is how many options there are for each letter. There are 7 possibilities for the first letter. Then there are 6 possibilities (out of the remaining letters) for the second latter. Then 5 possibilities for the next, and so on. The total number of possibilities will be 7x6x5x4x3x2x1, which equals 5,040. So there are 5,040 different ways to arrange 7 letter words.


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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.


How many 3-letter code words are possible using the first 7 letters of the alphabet if adjacent letters cannot be the same?

150


One letter is randomly selected from the word math and a second letter is randomly selected from the word jokes what is the probability that both letters are vowels?

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Related questions

How many ways can you arrange 2 letters in a given word?

Given two letters, there are two ways to arrange them; first then second, or second then first. The way the question is worded, the other letters of the word do not matter.


How many ways are there to arrange the letters of the word quack if the letter U must always follow Q?

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Why did the first inventor of the typewriter arrange the letters like he did?

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How many different ways can you arrange the letters in a six letter word?

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What 7 letter word with first and sixth letters the same?

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