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

Teagan Archer

Social Studies

12 June, 09:55

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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Brylee Petersen · 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