At a regional mathematics conference, there are 12 students. Every student shakes hands with every other student exactly once, except for two students who refuse to shake hands with each other at all. What is the total number of handshakes that take place?

Answer as guest — Start Free Practice Test to earn Practice PointsHow to earn pointsAsk a question+3Answer a question+1Someone answers yours+1Your Q gets upvoted+1Pioneer bonus (first 5)+51 point = ₹1 discount on purchases, ask questions & climb the leaderboard!

• A 66
• B 65
• C 55
• D 54

Submit Answer