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In how many ways can a teacher arrange 6 students in the front row of a classroom with a total of 20 students?

In how many ways can a teacher arrange 6 students in the front row of a classroom with a total of 20 students?
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In how many ways can a teacher arrange 6 students in the front row of a classroom with a total of 20 students?

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User Zo Has
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1 Answer

1 vote
This is a combination of 20 studants, 6 to 6:


C_(2,6)=(20!)/((20-6)!6!)=(20!)/(14!6!)=(20.19.18.17.16.15.14!)/(14!.6.5.4.3.2.1)=38,760 \ ways
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User Bhanu Sharma
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9.2k points
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