20 men handshake with each other without repetition. what is the total number of handshakes made?
Answers
Answered by
2
Number of handshakes(without repetition) = n*(n-1)/2, n=number of men
= 20*19/2 = 10*19 = 190 handshakes
[Concept:
Let there be 4 men A,B,C,D.
Handshakes: A--B, A--C, A--D, B--C, B--D, C--D : 4*3/2 = 6]
Hence, number of handshakes = 190
Hope it helps.
= 20*19/2 = 10*19 = 190 handshakes
[Concept:
Let there be 4 men A,B,C,D.
Handshakes: A--B, A--C, A--D, B--C, B--D, C--D : 4*3/2 = 6]
Hence, number of handshakes = 190
Hope it helps.
Answered by
0
Answer:
190
Step-by-step explanation:
Choosing 2 people out of 20 will result in a handshake and the same can be done in 20C2 ways
⇒20C2=20×192!=190
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