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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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How many ways can the letters ABC be arranged?

The letters ABC can be arranged in 3! = 3 x 2 x 1 = 6 ways. This is because there are 3 letters to arrange, and for each position, there are 3 choices for the first letter, 2 choices for the second letter, and 1 choice for the last letter. Therefore, the total number of ways to arrange the letters ABC is 6.


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.


How many unique ways are there to arrange the letters in the word APE?

six each of the three first letters has the other two alternating so 3 x 2 = 6 APE AEP PAE PEA EAP EPA


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

150


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.

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?

Consider "qu" to be a single letter and then you have 4 letters to arrange in 4 slots. For the first slot you have 4 choices, the next you have 3, and so on. So the number of ways is 4*3*2*1 = 24.


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

To have mechanical clearance between the striker arms to which the various letters are attached.


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

If all the letters are unique in the set, there are 6 choices for the first letter, 5 for the second letter, 4 for the third letter, etc. This results in 6 X 5 X 4 X 3 X 2 = 720 arrangements. If some of the six letters are duplicated, there will be fewer distinct arrangements.


How many ways can the letters ABC be arranged?

The letters ABC can be arranged in 3! = 3 x 2 x 1 = 6 ways. This is because there are 3 letters to arrange, and for each position, there are 3 choices for the first letter, 2 choices for the second letter, and 1 choice for the last letter. Therefore, the total number of ways to arrange the letters ABC is 6.


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.


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 .


How many ways to arrange the letters abcd?

4 choices for the first letter 3 choices for the second, once the first has been chosen 2 choices for the third, once the first and the second have been chosen 1 for the last So it's 4x3x2x1 = 24


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

Some seven letter words with the first and sixth letters the same are:abysmalaccrualacrobatadmiralalmanacanagramangulararrivalartisanarsenalcapricechalicecollectcompactconcoctconductconnectcontactconvictcorrectcornicecrevicedecidedegradeearlierepithetescapeefalsifyfortifygarbagegeologyhealthyidioticillicitimperilinertiaingraininhabitinheritinhibitinsulininvalidkaraokelegallylegiblylightlylikablelocallylooselylovableloyallyluckilymacramenirvananothingoctagonopinionoutlookovationoxbloodperhapspreceptpreemptrampartrapturerectoryrequirerestorerevelryrivalryrhubarbrupturesadnesssarcasmselfishsoloiststylishsubsistsuccesssucrosesuggestsupposesurmisesurpasssynapsetaffetatermitethirstythriftytributetrinityuraniumwillowy


How many letters of the alphabet are they?

There are 26 letters in the alphabet.The first letter is A and it ends with Z.


When the symbol contains two letters the first letters is always and the second letter is always?

If the first letter is in Capitals and the second letter isn't, it is simply the name of one Element e.g. Feis Iron. If both the second and the first letters are in Captials there are two elements. e.g. CO which is Carbon Monoxide.Brad, U.K.


How many distinct ways can you arrange the letters of the word literature?

Oh, what a lovely word to arrange! Let's see here, with the word "literature," we have 10 letters in total. Since some letters are repeated, we need to account for that in our count. So, there are 10!/(2!2!) = 453600 distinct ways to arrange the letters of "literature" in total. Isn't that just delightful?