Four math clubs go to a conference and meet up for lunch. They introduce themselves to each other and shake hands. Every member of each club shakes hands with every member of the other three clubs; they do not shake their own hands and they do not shake hands with their own club members. How many handshakes take place?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Four math clubs go to a conference and meet up for lunch. They introduce themselves to each other and shake hands. Every member of each club shakes hands with every member of the other three clubs; they do not shake their own hands and they do not shake hands with their own club members. How many handshakes take place?

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