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4 A school has 137 math students. a) Prove that if the principal hires 8 math teachers, then at least one teacher will have 17 or more students in that teacher's class. b) Each classroom has room for 20 students. If there are 8 classrooms, prove that at least one classroom will have 3 empty seats.

4 A school has 137 math students. a) Prove that if the principal hires 8 math teachers, then at least one teacher will have 17 or more students in that teacher's class. b) Each classroom has room for 20 students. If there are 8 classrooms, prove that at least one classroom will have 3 empty seats.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
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4 A school has 137 math students. a) Prove that if the principal hires 8 math teachers, then at least one teacher will have 17 or more students in that teacher's class. b) Each classroom has room for 20 students. If there are 8 classrooms, prove that at least one classroom will have 3 empty seats.
Transcribed Image Text:4 A school has 137 math students. a) Prove that if the principal hires 8 math teachers, then at least one teacher will have 17 or more students in that teacher's class. b) Each classroom has room for 20 students. If there are 8 classrooms, prove that at least one classroom will have 3 empty seats.
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