Question: 7. (10 marks (a) A programmer writes 500 lines of computer code in 17 days. Must there have been at least one day when the

7. (10 marks (a) A programmer writes 500 lines of computer code in 17 days. Must there have been at least one day when the programmer wrote 30 or more lines of code? why? b) Given a set of 52 distinct integers, show that there must be 2 whose sum or difference is divisible by 100
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