There are 30 people in a group. If all shake hands with one another , how many handshakes are possible?
Correct answer: B. 435
- A. 870
- B. 435
- C. 30!
- D. 29! + 1Islamic Studies Quiz
Explanation
A handshake is determined by choosing 2 people from 30, so the count is 30 x 29 / 2 = 435; division by 2 avoids counting each pair twice. The likely distractor is 870, which counts both orders of every handshake separately.
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