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.
Chapter9: Sequences, Probability And Counting Theory
Section9.5: Counting Principles
Problem 40SE: A family consisting of 2 parents and 3 children is to pose for a picture with 2 family members in...
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