Multiple choice general knowledge math & puzzles

At the end of a banquet 10 people shake hands with each other. How many handshakes will there be in total?

  1. 100

  2. 45

  3. 50

  4. 20
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

This is a classic handshake problem using combinations. With 10 people, each person shakes hands with 9 others, but this counts each handshake twice. So the formula is 10×9÷2 = 45 handshakes. This is equivalent to finding C(10,2) = 10!/(2!×8!) = 45.

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