Question

(1) A workshop venue has 35 participants. Each participant shakes hands with each and every other participant. (a) How many handshakes will be made by the first participants? (1)​

Answer 1

There are 595 handshakes at maximum.

What is handshaking lemma?

Every finite undirected graph, the number of vertices that touch an odd number of edges is even.

given that:

Number of participants in a party = 35

Now,  By "handshake lemma":

number of shakes that would be

=n(n-1)2

=35(35-1)/2

=35*34/2

=35*17

= 595

Hence, there are 595 handshakes at maximum.

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