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Ten students shall be sorted into the four houses (namely Gryffindor, Slytherin, Ravenclaw, and Hufflepuff) in...

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Advance Math

Ten students shall be sorted into the four houses (namelyGryffindor, Slytherin, Ravenclaw, and Hufflepuff) in Hogwarts. Ifat least one student shall go to each house, how many ways can thestudents be sorted?

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For the sake of simplicity let us denote Gryffindor by GSlytherin by S Ravenclaw by R and Hufflepuff by HLet the 10 students be denoted by a1 a2 a10Suppose we have a sorting of the 10 students into the fourhouses such that at least one student has been assigned to eachhouse Each student can be assigned    See Answer
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