SOLUTION: You have 200 different-looking tiles. (Each is a different solid color. You
only have one tile of each color.) You sell trays that are made by lining
up 5 tiles in a row and glui
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-> SOLUTION: You have 200 different-looking tiles. (Each is a different solid color. You
only have one tile of each color.) You sell trays that are made by lining
up 5 tiles in a row and glui
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Question 1166298: You have 200 different-looking tiles. (Each is a different solid color. You
only have one tile of each color.) You sell trays that are made by lining
up 5 tiles in a row and gluing them to a backing. A customer orders 4 trays. In how many different ways can you fulfill the order?
You need to use 4*5=20 of the 200 different tiles.
You have 200 choices for the first tile on the first tray.
You have 199 choices for the second tile on the first tray.
You have 198 choices for the third tile on the first tray.
...
You have 181 choices for the fifth tile on the fourth tray.
The total number of ways you can make the 4 trays is
P(200,20) = 200*199*198*...*2*1
If you need to evaluate that number, use a calculator....
