Multiple choice general knowledge math & puzzles

There are 20 people at a party. Each one shakes hand with other ones present. The total no of hand shakes would be.

  1. 40

  2. 100

  3. 172

  4. 190
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

The number of handshakes among $n$ people is calculated using the combination formula $n(n-1)/2$. For 20 people, this is $20 imes 19 / 2$, which equals $10 imes 19 = 190$. Each person shakes hands with 19 others, but we divide by 2 to avoid double-counting.

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