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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)66
- b)50
- c)45
- d)40
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
12 friends met at a party. Each friend shook hands with each other exa...
Solution:
When 2 friends shake hands, it is counted as 1 handshake.
When the first friend shakes hands with the other 11 friends, he/she would have made 11 handshakes.
When the second friend shakes hands with the remaining 10 friends (excluding the first friend), he/she would have made 10 handshakes.
This continues until the last friend shakes hands with the remaining 1 friend.
Therefore, the total number of handshakes = 11 + 10 + 9 + ... + 1
= (11 x 12)/2
= 66
Hence, the correct answer is option A) 66.
When 2 friends shake hands, it is counted as 1 handshake.
When the first friend shakes hands with the other 11 friends, he/she would have made 11 handshakes.
When the second friend shakes hands with the remaining 10 friends (excluding the first friend), he/she would have made 10 handshakes.
This continues until the last friend shakes hands with the remaining 1 friend.
Therefore, the total number of handshakes = 11 + 10 + 9 + ... + 1
= (11 x 12)/2
= 66
Hence, the correct answer is option A) 66.
Community Answer
12 friends met at a party. Each friend shook hands with each other exa...
Correct answer is 66 because there are 12 friends shook hands with each other exactly once, means 12÷ 2 = 6 ,
12 × 6 = 66
12 × 6 = 66
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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?
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