QuestionDetails: Question: Hand shakes and Round tables a) Five managers gather

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QuestionDetails: Question: Hand shakes and Round tables a) Five managers gather for a meeting.If each managershakes hands with each other manager exactly once, what is thetotal number of handshakes? b)If n managers shake hands with each other exactly once, whatis the total number of handshakes? c) How many different ways can five managers be seated at a round table?(Assume that if everyone moves to the right, theseating arrangment is the same) d)How many different ways can n managers be seated at a roundtable? Please i need help with this question. step-step workingplease. QuestionDetails: Question: Hand shakes and Round tables a) Five managers gather for a meeting.If each managershakes hands with each other manager exactly once, what is thetotal number of handshakes? b)If n managers shake hands with each other exactly once, whatis the total number of handshakes? c) How many different ways can five managers be seated at a round table?(Assume that if everyone moves to the right, theseating arrangment is the same) d)How many different ways can n managers be seated at a roundtable? Please i need help with this question. step-step workingplease.

Explanation / Answer

a) 1 manager shakes 4 hands, the 2nd 3 hands, the 3rd 2 and the 4th1. 4+3+2+1 = 10 shakes b)n managers shake a total of n(n-1)(n-2)...etc hands.

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