Two groups consisting of 108 and 156 students particupate in sports meet. In how many rooms can all these students be accommodated at the minimum if all the rooms should have equal number of studets and no two students in a room should be form different groups ?

Two groups consisting of 234 boys and 286 girls are to participate in a drill. In how many minimum rows can all the students be divided so that any given row either consists of only boys or only girls ?

Two series of a question booklets for an aptitude test are to be given to twelve students. In how many ways can the students be placed in two rows of six each so that there should be no identical series side by side and that the students sitting one behind the other should have the same series?

There are two examinations rooms A and B. If 10 students are sent from A to B, then the number of students in each room is the same. If 20 candidates are sent from B to A, then the number of students in A is double the number of students in B. The number of students in room A is:

There are 4 doors to a lecture room . The number of ways in which a student can enter the room and leave it by different door is

Two variants of the CAT paper are to be given to twelve students. In how many ways can the students be placed in two rows of six each so that there should be no identical variants side by side and that the students sitting one behind the other should have the same variant?

There are two class rooms A and B having a certain number of students. If 5 students are shifted from room A to room B, the resulting number of students in both the rooms becomes equal. If 5 students are shifted from room B to room A, the resulting number of students in room A becomes double the number of students left in room B. Find the original number of students in both the rooms separately.

In how many ways can 4 subjects be chosen by two students so that each student should take at least one subject ?

In how many ways can 6 different books be distributed among 3 students such that none get equal number of books