Class 4 Question > 12 friends met at a party. Each friend shook ...

12 friends met at a party. Each friend shook hands with each other exactly once. Number of handshakes took place is _____.

- a)66
- b)50
- c)45
- d)40

Correct answer is option 'A'. Can you explain this answer?

Riya Singh
Mar 18, 2021 |

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12 friends met at a party. Each friend shook hands with each other exactly once. Number of handshakes took place is _____.a)66b)50c)45d)40Correct answer is option 'A'. Can you explain this answer?

The first person shook hands with 11 remaining people, the second person also shook hands with 11 people, but we count 10, as the hand shake with the first person has already been counted.

Then add 9 for the third person, 8 for the fourth one & proceeding in this fashion

We get: 11 + 10 + 9 + 8 + 7 + 6 + 5 + 4 + 3 + 2 + 1 = 66.

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The first person shook hands with 11 remaining people, the second person also shook hands with 11 people, but we count 10, as the hand shake with the first person has already been counted.Then add 9 for the third person, 8 for the fourth one & proceeding in this fashionWe get: 11 + 10 + 9 + 8 + 7 + 6 + 5 + 4 + 3 + 2 + 1 = 66.