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4 possibilities for the first letter to choose from S O C K.

Then there are 3 letters to choose from for the second letter.

Then there are 2 letters left to choose from for the third letter.

Then there will be only 1 remaining letter left for the last of the four positions.

So: We have 3 possibilities for the second letter for a total of 4 x 3 = 12 combinations.

With 2 possibilities for the third letter we get 12 x 2 or 4 x 3 x 2 = 24 possibilities.

Since there is only one letter left for the fourth position, it still is 4 x 3 x 2 x 1= 24 possibilities.

In mathematics we abbreviate 4 x 3 x 2 x 1 to 4! (4 followed by an exclamation mark) and call it 4 factorial.

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Q: How many different ways can the letters in the word sock be arranged?
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