There are 100 students at a school and three dormitories A B

There are 100 students at a school and three dormitories, A, B, and C, with capacities 25, 35 and 40, respectively. How many ways are there to fill the dormitories?

Solution

As the total number of students are 100, so we have to provide place for all the students in the dormitory, and total number of places in dormitory A,B and C are 25, 35 and 40 respectively I.e total 100 places hence 100 students are provided 100 places in only one way. Hence total no. Of ways for providing places For students in dormitory are only one.