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

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 Riya Singh Mar 18, 2021
Related 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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 Khushi Aich Oct 07, 2022
66

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