Quiz 2 - SummefOUZ602Q2Ansnb

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Unformatted text preview: SummefOUZ602Q2Ansnb http://www.math.gatech.edul~morleyl2602lquizes/summerO1/Q2/index.html Math 2602 Quiz Two June 07, 2001 Problem 1 (10 points) Eddie Merckx wants you to write out all possible ways of putting 6 indistinguisable balls into 4 indistinguisable urns. Answer No empty Urns 3,1,1,l 2,2,1,1 One empty urn 4,1,1,0 3,2,1,0 2,2,2,0 Two empty Urns: 5,1,0,0 4,2,0,0 3 ,3 ,0,0 Three empty urns: 6,0,0,0 Problem 2 (10 Points) Miguel Indurain wants you to count the number of ways of getting XXXYYZZWR, that is a 9 card hand with one three of a kind, two pair, and two unrelated cards. Ans 13 [3} [122} [313 [12”] 43 There are other ways to express this. 1 of 2 09/17/2003 9:41 AM Sunnne:002602Q2Ans.nb http://www.math.gatech.edu/~morley/2602/quizes/summer01/Q2/index.html Problem 3 (10 points) Greg Lamond wants you to sum: " (—3)M1 n 2n—k+2 3:0 Ans There are avarity of ways to express this. Factor out (—3) f23, giving : —3 n —3 k —3 n l n‘* _2 t J [n] = _Z [_3)k[_] 4 ho 2:1-k k 4 2 k=0 = [11—3] [-3 +3“ Then Converted by Mathematica June 7, 2001 09/17/2003 9:41 AM / ...
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Quiz 2 - SummefOUZ602Q2Ansnb

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