Question: 2.2.3.A carnival barker has four cups upside down in a row in front of him. He places a pea under the cup in the

2.2.3.A carnival barker has four cups upside down in a row in

2.2.3.A carnival barker has four cups upside down in a row in front of him. He places a pea under the cup in the first position. He quickly interchanges the cups in the first and third positions, then the cups in the first and fourth positions and then the cups in the second and third positions. This entire set of interchanges is done a total of five times. Where is the pea? Hint. Write one entire set of interchanges as a permutation in cycle form.

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