Math, asked by ayushraj1952002, 2 days ago

find the minimum number of students needed to guarantee that 5 of them belong to same class ( freshman, sophomore, junior, senior)​

Answers

Answered by amandeep9498
0

Step-by-step explanation:

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Answered by Rameshjangid
0

Answer:

The minimum number of students needed to guarantee that 5 of them belong to the same class is 17.

Explanation:

To solve this problem, we can use the pigeonhole principle. We have 4 classes and we want to find the minimum number of students needed to guarantee that 5 of them belong to the same class.

Assume that we have n students.

The worst-case scenario is when we have n-1 students distributed evenly among the 4 classes (i.e., each class has floor((n-1)/4) students). In this case, the largest possible number of students in each class is floor((n-1)/4) + 1.

Therefore, if we add one more student, we will have at least one class with at least 5 students (since floor((n-1)/4) + 1 >= 5 when n >= 17).

Hence, the minimum number of students needed to guarantee that 5 of them belong to the same class is 17.

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