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DMTH137 Discrete Mathematics

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Macquarie University

   

Discrete Mathematics (DMTH137)

   

Added on  2020-05-01

DMTH137 Discrete Mathematics

   

Macquarie University

   

Discrete Mathematics (DMTH137)

   Added on 2020-05-01

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Running head: DISCRETE MATHEMATICS 0DISCRETE MATHEMATICSName of StudentInstitution Affiliation
DMTH137 Discrete Mathematics_1
DISCRETE MATHEMATICS 2Question one We can write as:= = We can write binomial coefficient[ CITATION Dez12 \l 1033 ].as = Greatest common divisor(HCF) is:= 28Least common multiple(LCM) is:Multiplication of numbers = HCF * LCMQuestion two The model question is shown as below<Through using the graph to obtain the x, y-intercepts and the graph is as below
DMTH137 Discrete Mathematics_2
DISCRETE MATHEMATICS 3And the only coordinate with both as natural number in the line graph is at ( 27,13). [ CITATION Joz14 \l 1033 ].x= 27 while y= 1331.70× 27+116.90× 13 = 855.90 +1519.7= $ 2375.6Therefore The number of items that cost $ 31.70 each = 27The number of items which cost $116.90 each = 13 Question three(a) a = 2637110736b = 29611100162961110016 = 2637110736 + 3239992802637110736 = 8*323999280 + 45116496323999280 = 7*45116496 + 818380845116496 = 5*8183808 + 41974568183808 = 4197456 + 39863524197456 = 3986352 + 2111043986352 = 18*211104 + 186480
DMTH137 Discrete Mathematics_3

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