A group of n people went to a theater, and each of them left his coat and his suitcase in the coatroom. When the group wanted to leave, the coatroom attendant handed each person a coat and a suitcase in a random fashion. (a) In how many ways could the attendant return the coats and suitcases if nobody got his own coat back and nobody got his own suitcase back? (b) In how many ways could the attendant return the coats and suitcases if some people might have gotten one of their belong- ings back, but nobody got two of his belongings back?
A group of n people went to a theater, and each of them left his coat and his suitcase in the coatroom. When the group wanted to leave, the coatroom attendant handed each person a coat and a suitcase in a random fashion. (a) In how many ways could the attendant return the coats and suitcases if nobody got his own coat back and nobody got his own suitcase back? (b) In how many ways could the attendant return the coats and suitcases if some people might have gotten one of their belong- ings back, but nobody got two of his belongings back?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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A group of n people went to a theater, and each of them left his coat and his suitcase in the coatroom. When the group wanted to leave, the coatroom attendant handed each person a coat and a suitcase in a random fashion. (a) In how many ways could the attendant return the coats and suitcases if nobody got his own coat back and nobody got his own suitcase back? (b) In how many ways could the attendant return the coats and suitcases if some people might have gotten one of their belong- ings back, but nobody got two of his belongings back?
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