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?

Question

Social Studies

Gavin Garner

4 November, 20:45

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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Answers (1)

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Maryjane Wagner · Answer 1

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