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we are going to rearrange all of the letters in words and learn how to deal with repetition within those words how many distinct ways are there to rearrange all of the letters in the word switch or all six of the letters are different well one way to visualize this is to give yourself six blanks for the six letters and how many options do you have for that first letter that you choose well you have six options how many letters do you have for the next option well youve already used up one of them so you only have five options for the next blank and four and three and two and by the time you get to the last letter you only have one option now this is fundamental accounting principle when you multiply them all together you end up with six factorial some people will call that six p six or a permutation of six items when you have six to choose from but a factorial 6 factorial or n factorial when youre rearranging n distinct items is simply the number of distinct ways you can do that onc
