In a gathering of 30 individuals, if each person shakes hands with every other person exactly once, how many handshakes will occur?

Permutations and Combinations MCQs for PPSC, FPSC, NTS, and Pakistan government job tests. Select an option below, then read the explanation.

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Subject
Permutations and Combinationsmathematics-mcqs › permutations-and-combinations
Published
24 Jul 2019
Last updated
28 May 2026

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Explanation

The total number of unique handshakes among 30 people is calculated using the combination formula C(30, 2) = 30 × 29 / 2 = 435. Options involving factorials or incorrect sums do not represent the correct count of handshakes.

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