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Catherine rolls a 6-sided die five times, and the product of her rolls is \(1500\). How many different sequences of rolls could there have been? (The order of the rolls matters.)

 Feb 9, 2022
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25556 , 25565 , 25655 , 26555 , 34555 , 35455 , 35545 , 35554 , 43555 , 45355 , 45535 , 45553 , 52556 , 52565 , 52655 , 53455 , 53545 , 53554 , 54355 , 54535 , 54553 , 55256 , 55265 , 55345 , 55354 , 55435 , 55453 , 55526 , 55534 , 55543 , 55562 , 55625 , 55652 , 56255 , 56525 , 56552 , 62555 , 65255 , 65525 , 65552 , Total =  40 different sequences.

 Feb 9, 2022

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