quiz8ANS

# quiz8ANS - dierent kinds (that is, there are no pairs among...

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Math 240, Quiz 8 Name: Circle One: T 12:05 T 2:25 R 12:05 R 2:25 Instructions: Answer all questions fully, showing work where necessary. 1) What is the coeFcient of x 8 y 9 in the expansion of (3 x + 2 y ) 17 ? It’ll be ( 17 8 ) 3 8 2 9 2) How many solutions are there to the equation x 1 + x 2 + x 3 + x 4 + x 5 + x 6 = 29 where x i , i = 1 , 2 , 3 , 4 , 5 , 6, is a nonnegative integer such that x i > 1 for i = 1 , 2 , 3 , 4 , 5 , 6? If each x i is at least 2, we can subtract 12 stars from the 29 we have to place. Thus, we will only have 17 stars and 5 bars to place. The answer will thus be ( 22 5 ) . 3) What is the probability that a ±ve-card poker hand contains cards of ±ve
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Unformatted text preview: dierent kinds (that is, there are no pairs among the ve cards)? There are 13 dierent kinds of cards, 2 through Ace. Out of those 13, we must choose 5. or each of these 5 cards, there are 4 suits, and we must choose one. Thus, the probability is ( 13 5 )( 4 1 ) 5 ( 52 5 ) I messed up and rewrote the same bonus question. The answer is again Alando Tucker. 1...
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## This note was uploaded on 08/11/2008 for the course MATH 240 taught by Professor Miller during the Fall '08 term at Wisconsin.

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