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A whole lot of people shook hands and a whole refused to shake hands with each other at a recent UN meeting in NYC. As UN handshaking is not just a handshaking but also a political statement all these handshakes were carefully monitored and accounted for by the special math agent Nathan. At the end of meeting Nathan reported that someting fishy is going on as the number of people that shook an odd number of hands is an odd number and this is impossible. He was right. The question is why ? |
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Answer» Answer: Step-by-step explanation: - as each handshake is counted twice, the TOTAL number of handshakes is EVEN - this large even number could be split into two sums: handshakes reported by people who shook even number of hands and handshakes reported by people who shook ODD number of hands - the first sum is a sum of even numbers and is always even - the second sum should also be even to produce an even total - what is this second sum that should be an even number? Handshakes reported by people who shook odd number of hands. It is a sum of odd numbers. This sum could be even only if we have even number of additives. Special agent nathan KNEW that number of people who reported shaking odd number of hands should be even. |
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