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4!

4 * 3 * 2 * 1

= 24

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Q: How many permutations exist in a four letter word?
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How many 3 letter permutations of the word October?

There are 195 3-letter permutations.


How many permutations exist of the letters a b c d taken four at a time?

Since you are using in the arrengement the all 4 letters, then there are 4! = 4*3*2*1 = 24 permutations.


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120 four letter permutations if you don't allow more than one 'o' in the four letterarrangement.209 four letter permutations if you allow two, three and all four 'o'.1.- Let set A = {t,l,r,m,}, and set B = {o,o,o,o}.2.- From set A, the number of 4 letter permutations is 4P4 = 24.3.- 3 letters from set A give 4P3 = 24, and one 'o' can take 4 different positions in theword. That gives us 24x4 = 96 four letter permutations.4.- In total, 24 + 96 = 120 different four letter permutations.5.- If the other three 'o' are allowed to play, then you have 2 letters from set A thatgive 4P2 = 12 permutations and two 'o' can take 4C2 = 6 position's, giving 12x6 = 72four letter permutations.6.- One letter from set A we have 4P1 = 4, each one can take 4 different positions, therest of the spaces taken by three 'o' gives 4x4 = 16 different permutations.7.- The four 'o' make only one permutation.8.- So now we get 72 + 16 + 1 = 89 more arrangements adding to a total of 89 + 120 = 209 different 4 letter arrangements made from the letters of the word toolroom.[ nCr = n!/((n-r)!∙r!); nPr = n!/(n-r)! ]


How many different 3 letter permutations can be formed from the letters in the word count?

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How many permutations exist of the letters a b c d taken two at a time?

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How many permutations are possible of the word yard?

Imagine you have four empty buckets in which to put any of the four letters Y, A, R, D into. At first you have four letters that can be placed in any of the four empty buckets. Once you've placed a letter in a bucket you only have three letters and three empty buckets to choose from. And so on... So there are 4x3x2x1 = 24 permutations of the word YARD.


How many permutations can be made with the numbers 6789?

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How many different four-letter permutations are there for the letters in the word toolroom?

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