UPCAT Mathematics practice question 36: Six people at a meeting each shake hands once with every other person. How many handshakes occur in total?
Correct answer
A. 15
Order does not matter, so this is C(6, 2) = (6 × 5) ÷ 2 = 15.
The question
Six people at a meeting each shake hands once with every other person. How many handshakes occur in total?
- Option A: 15Correct
- Option B: 12
- Option C: 21
- Option D: 30
Why A is correct
Order does not matter, so this is C(6, 2) = (6 × 5) ÷ 2 = 15.