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Mr. W wants to divide a class of 20 students into 5 groups of 4 for a same task, In the class, Peter and David are twin brothers and they may switch groups for fun because no one can tell them apart. How many ways are there to group the class if the twin brothers are not in the same group but John and Mary must be in the same group?

Mr. W wants to divide a class of 20 students into 5 groups of 4 for a same task, In the class, Peter and David are twin brothers and they may switch groups for fun because no one can tell them apart. How many ways are there to group the class if the twin brothers are not in the same group but John and Mary must be in the same group?

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 5CT: At Rosemont High School, 14 players are on the varsity basketball team, 35 players are on the...
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Mr. W wants to divide a class of 20 students into 5 groups of 4 for a same task. In the class, Peter and David are twin brothers and they may switch groups for fun because no one can tell them apart. How many ways are there to group the class if the twin brothers are not in the same group but John and Mary must be in the same group?
Transcribed Image Text:Mr. W wants to divide a class of 20 students into 5 groups of 4 for a same task. In the class, Peter and David are twin brothers and they may switch groups for fun because no one can tell them apart. How many ways are there to group the class if the twin brothers are not in the same group but John and Mary must be in the same group?
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