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MCS,PHD
Argosy University/ Phoniex University/
Nov-2005 - Oct-2011
Professor
Phoniex University
Oct-2001 - Nov-2016
1. How many solutions over the positive integers are there to the inequality: x1 +x2 + : : : + x10 ≤ 100
(b) In how many ways can Mr. and Mrs. Grum person distribute 13 identical pieces of coal to their three children for Christmas so that each child gets at least one piece?
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2. The working days in the next year can be numbered 1, 2, 3, . . . , 300. I’d like to avoid as many as possible.
·        On even-numbered days, I’ll say I’m sick.
·        On days that are a multiple of 3, I’ll say I was stuck in traffic.
·        On days that are a multiple of 5, I’ll refuse to come out from under the blankets.
In total, how many work days will I avoid in the coming year?
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