Topic: Engineering Mathematics
In a party, each person shake hands with every other person present. The total number of handshakes was 45. The number of people in the party is
- A. 12
- B. 10
- C. 8
- D. 6
Answer: B. 10
Explanation: Total number of handshakes for n people is nC2 = n(n-1)/2. So, n(n-1)/2 = 45 => n² - n - 90 = 0. Solving gives n = 10.