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2 November, 13:18

There are 4 representatives from each of 4 companies at a convention. At the start of the convention, every person shakes hands once with every person except the other representatives from their company. How many handshakes are there?

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  1. 2 November, 14:20
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    Answer: 96 ways

    Explanation: this is a combination.

    If the company reps are designated as A, B, C & D.

    A can have Handshakes with the rest 3

    B can have Handshakes with the rest 2

    C can shake hands with D

    So 3+2+1=6 multiplied by the total number of reps i. e 16.

    So 16x6=96
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