Combinatorics Problem IV by Pr. Fares Salem
Probability
Level
1
At a party there are 75 people. Everybody shakes everybody’s hand once. How often are hands shaken in total? Hint: How many people are involved in shaking hands?
The answer is 2775.
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You want to find the number of all possible pairs of party guests. This is simply 75C2 = 2775.