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There are 8 pens along a wall in the pound. The pound has to allocate 4 pens to dogs, 3 to cats, and one to roosters. In how many ways can the pound make the allocation?

 Jun 14, 2023
 #1
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There are 8 pens to choose from for the dogs, 4 pens left to choose from for the cats, and 3 pens left to choose from for the roosters. This gives us a total of 8⋅4⋅3=96​ ways to make the allocation.  I hope this helps!

 Jun 14, 2023
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WilmaShore  Jun 17, 2023
edited by WilmaShore  Jun 22, 2023
 #2
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(8 C 4) * ((8 -4) C 3) * (1 C 1) = 280 ways to allocate the pens.

 Jun 15, 2023

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