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# Carl wants to arrange 3 of her 4 plants in a row on a shelf.

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Eternal Intern
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Carl wants to arrange 3 of her 4 plants in a row on a shelf. [#permalink]  01 Aug 2003, 17:38
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Carl wants to arrange 3 of her 4 plants in a row on a shelf. If each of the plants is in a different-colored container, how many different arrangements can she make?
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Ride em cowboy

Eternal Intern
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Location: Lone Star State
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Hi [#permalink]  01 Aug 2003, 20:52
Hi Anupag,

My reasoning is 4 diff color avail for 3 diff plants.
4 for the first * 3 avail for the second * 2 avail for the third=24 diff arrangmts.

Your more of a mathematician than I am so explain yours.
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Ride em cowboy

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Curly. Your method is also correct.

My way of reasoning was - You have to choose three pots out of 4 for placing on the row. that is 4c3. Once placed on the row, these three pots can be arranged in 3! ways among themselves. Hence the total number =24.
But your way is a neat way and I like it more than my way.
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