There are 33 students in the class and sum of their ages 430 years. Is it true that one can find 20 students in the class such that sum of their ages greater 260 ?
The average age of each student comes out to be 13.03 If each student has an age equal to 13.03 i.e. the average age of the class, it comes out to be 260.60
The class might have students with age greater than or less than or equal to the average age of the class. So it is always possible to select some 20 students whose sum of the age adds up to 260.
I don't know if I am correct in my approach. Is there a way in which we can depict and solve this problem using pigeon hole principle?