For each of the problem below first decide whether you can o

For each of the problem below, first decide whether you can obtain a maximal answer or a minimal answer, then answer the question.

(a) What is the minimum/maximum number m of students required to be sure that at least 7 students will receive the same grade, if there are 5 possible grades.

(b) What is the minimum/maximum number m we can say for sure that at least m students out of 50 will receive the same grade, if there are 5 possible grades?

(c) What is the minimum/maximum number m of grades required to be sure that at least 7 students out of 50 will receive the same grade?

Solution

a) here we get minimal answer as we dont know the total number of students.

m=7 atleast 7 students receive the same grade

b)minimal answer atleast 10 students out of 50 receive same grades.

c) here minimal is 7 and maximum is 50