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Question

In the conference of 8 persons, every person handshake with each other only one,then find the total number of hand shaked.

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Solution

Let n be the total number of persons in the conference. Since every person handshake with each other only once, then, the number of handshakes can be calculated by nC2, here 2 refers to the pair of hands of each person.

8C2=8!2!(82)!

=8!2!6!

=28

Therefore, the total number of handshakes are 28.


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