Multiple choice

At a business round table event, 16 project leaders gather. If every individual participant shakes hands with every other project leader present exactly once, find the total tally of handshakes executed.

  1. 110

  2. 115

  3. 120

  4. 125

  5. 130
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C Correct answer
Explanation

The total number of handshakes among 16 people, where each person shakes hands with every other person exactly once, is given by the combination formula 16C2. This is calculated as (16 * 15) / 2 = 120 handshakes.

AI explanation

This problem requires the combination formula for selecting 2 people out of n, given by n(n - 1) / 2. Substituting n = 16 project leaders into the formula gives (16 * 15) / 2. Multiplying 16 by 15 yields 240, and dividing by 2 gives 120. The result is 120.

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