# There are 9 persons in a conference.If each person shakes hands with the others,how many handshakes will there be?

1
by treceaudrey

2015-06-21T17:06:00+08:00

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I think there will be 36 handshakes.

so the solution be like: (SORRY FOR MY SOLUTION)

the circles represent the handshakes of each person
so for person 1, the red circles represent the number of the handshakes he made.
and its also like in person 2, the orange circles represent the number of handshakes he made.
﻿and so on..﻿

so in total, there will be 36 handshakes.

ps i think we had this question when i was in grade 7, i just dont remember the answer.

Can you show me the solution
i dont know if each person will shake others at once
so in mathematical equation, the solution will be like:

9 times 8
9 times 8 divided by 2 = 36 handshakes
formula = N*(N-1)/2