Five people come to a party and shake hands with each other if each person shakes the hand of every other person how many handshakes occur

Question

Mathematics

Conor Thompson

27 March, 04:53

Five people come to a party and shake hands with each other if each person shakes the hand of every other person how many handshakes occur

+1

Answers (1)

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Amanda Nixon · Answer 1

Let's name each person as A, B, C, D, E

A-B

A-C

A-D

A-E

A does 4 handshakes

B-C

B-D

B-E

B does 3 handshakes

C-D

C-E

C does 2 handshakes

D-E

D does 1 handshake

In total = 4+3+2+1

= 10 handshakes