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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?

  1. Option A: 15Correct
  2. Option B: 12
  3. Option C: 21
  4. Option D: 30

Why A is correct

Order does not matter, so this is C(6, 2) = (6 × 5) ÷ 2 = 15.

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