MATH SOLVE

4 months ago

Q:
# 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

Accepted Solution

A:

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

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