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# 7 - 5 Mom wants to split 14 oranges among her three...

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1 12 (2 + 2) 12 (4 + 2) 5 4 2 2

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2
3 What is the generating function that counts in how many ways can 25 identical donuts be distributed to four police officers so that each officer gets at least three donuts but no more than seven donuts?

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4 Find the generating function for the number of integer solutions to the equation where, 0 x 1 , 8 x 2 ≤ − 3 , 2 x 3 3 , 4 x 4 . x 1 + x 2 + x 3 + x 4 = 15 ,
5 Mom wants to split 14 oranges among her three children Jody, Dan, and Mark. She is thinking
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Unformatted text preview: , 5 Mom wants to split 14 oranges among her three children Jody, Dan, and Mark. She is thinking the following might work but she is not sure. Every child gets at least one orange. Jody will receive an even number of oranges but not more than four. Dan will get a multiple of three oranges. Mark will get a multiple of five oranges. Can she split the oranges this way?...
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