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(Solved): Q2 (5 marks) Let X={0,2,4,6,,200} (i.e., X contains all multiples of 2 between 0 and 200 inclusi ...




Q2 (5 marks)
Let \( X=\{0,2,4,6, \ldots, 200\} \) (i.e., \( X \) contains all multiples of 2 between 0 and 200 inclusive) ane
Q2 (5 marks) Let (i.e., contains all multiples of 2 between 0 and 200 inclusive) ane suppose with . Show there must exist distinct satisfying the following tw properties simultaneously: (i) is divisible by 51 , and (ii) is divisible by 4 .


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Here is your answer-We can prove this by contradiction. Suppose that there do not exist distinct elements a,b in A such that a+b is divisible by 51 an
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