What is the least number of students needed in a class, Mathematics

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What is the least number of students needed in a class to be sure that at least 6 will receive similar grade if there are five probable grades A, B,C, D and F? 

Ans: Let us refer 5 pigeonholes corresponding to five grades. After that, our problem is to find out the number of pigeons (students) that is why when placed in holes, one of the holes must consist of at least 6 pigeons (students). In the theorem above, m = 5, after that we have to find n such that

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Hence, at least 26 students are required in the class. 

 

 


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