GRAPHIX CENTRAL

How many arrangements can you make with the word GRAPHICS?

Math problems I hate

Do they have to be actual words, or just arrangements of letters?

For arrangements of letters: imagine you have eight empty spots and eight letters with which to fill them.

For the first spot, you have 8 choices of which letter to pick.

For the second spot, you have 7 choices of which letter to pick.

For the third spot, you have 6 choices of which letter to pick

. . .

For the eighth spot, you have 1 choice of which letter to pick.

Now, you multiply them by each other 8*7*6*5*4*3*2*1=8!=40320

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