# Math

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Keiko has 7 colors of lanyard. She uses 3 different colors to make a keychain. How many different combinations can she choose?

7 for the first, 6 for the second and 5 for the third. The answer is the product of those numbers, no matter what order the three colors are picked. The number of possibilities in "combination" problemsa like this can written in the form
7!/(7-3)! = 7!/4! = 7x6x5

Write out the possibilities.
All of them.
Then count them.
:D

• Math -

28

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