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2. 10 people are there, they are shaking hands together, how
many hand shakes possible, if they are in no pair of cyclic
sequence.

Answer Posted / sandeep

With two people, there is one handshake. With three people,
there are three handshakes. With four people, there are six
handshakes. In general, with n+1 people, the number of
handshakes is the sum of the first n consecutive numbers:
1+2+3+...+10. Since this sum is n(n+1)/2, we need to solve
the equation 10(10+1)/2 = X. Solving for X, we obtain 55 as
the answer.

Is This Answer Correct ?    1 Yes 6 No



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