# hw3 - A you move from point to point moving only one unit...

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Math 310-1 (Fall 2011) Homework #3 Due date: Friday 10/14 in class 1. A restaurant has 12 appetizers, 20 entrees, and 5 desserts. If your table splits 3 appetizers, 5 entrees, and 2 desserts, how many diﬀerent meals are possible? 2. b black balls and r red balls are in a hat. (a) Draw 5 of them with replacement . What is the probability of getting exactly 3 blacks? (b) Draw 5 of them without replacement . What is the probability of getting exactly 3 blacks? (c) Draw 5 of them without replacement . What is the probability of getting exactly 3 blacks, given that the second one is red? 3. Consider the grid of points shown below. Suppose that starting at the point
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Unformatted text preview: A you move from point to point, moving only one unit to the right or one unit up at a time, ending at the point B . How many diﬀerent paths from A to B are possible? • • • • • • B • • • • • • • • • • • • A • • • • • • 4. How many distinct, non-negative integer-valued vectors ( x 1 ,x 2 ,...,x 5 ) satisfy x 1 + x 2 + x 3 + x 4 + x 5 = 12? From the textbook: pp 46 # 3, 4, 7, 9, 11, 13, 14 (c,g,h,i), 15, 16, 21, Extra Credit: #10, pp 77 # 3 - 7....
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