Shakehands
Probability
Level
1
6 persons in a room exchange shakehands to eachother then how many shakehands will be there in all.
The answer is 15.
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Person 1 handshakes with 5 people
Person 2 handshakes with 5 people less Person 1 so we have 4
Person 3 has 5 less person 1 and 2 so 3
Person 4 has 5 less person 1, 2, and 3 so 2
Person 5 has 5 less person 1, 2, 3, and 4 so 1
Person 6 has 5 less person 1, 2, 3, 4, and 5 so 0.
All in all, there are 5 + 4 + 3 + 2 + 1 = 15 handshakes.