# college

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Suppose you are playing a word game with seven distinct letters. How many seven letter words can there be?

It is ok it the word is gibberish in this case

• college -

7! = 7*6*5*4*3*2*1 = 5040
You get a different (smaller) answer if some of the letters are the same.

• college -

How did you get that?

• college -

The first letter can be 7 choices
the second letter can be 6 choices
the third letter can be 5 choices, and so on.

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