A Combinatorial Card Trick

The Trick

And Your Card Is…

The Encoding Of The Suit

The Encoding Of The Pips

The Upper Bound

What Is A Strategy?

What Is A Strategy?

What Is A Strategy?

How Many Potential Strategies?

A Strategy For Eight Cards

The Trick As A Graph Problem

The Size Of The Bipartite Graph

Portion Of A 56 by 56 Regular Bipartite Graph With Degree 6

A Strategy As A Perfect Matching

A Strategy As A Perfect Matching

A Strategy As A Perfect Matching

Hall’s Theorem

Hall’s Theorem Is True For Any K-Regular Bipartite Graph

A Practical Strategy For 124 Cards

To Decode The Strategy

Only 24 Possibilities

Discrete Math Used In The Card Trick

Fun Used In The Trick

Open Questions