The students `S_1, S_2,..., S_10` are to be divided into 3 groups A, B, and C such that each group has at least one student and group C has at most 3 students. Then the total number of possibilities of forming such groups is....

The students in a class can be divided into groups of 2, 3, 5 and 6. What is the least number of children this class can have.

Find the number of ways of dividing 6 couples in 3 groups if each group has exactly one couple and each group has 2 males and 2 females.

The sequence of odd natural numbers is divided into groups 1,3,5,7,9,11,"…." and so on. Show that the sum of the numbers in nth group is n^(3) .

One parents has blood group A and the other parents has blood group B, the offsprings have which blood group

Fourteen numbered balls (1, 2, 3, …, 14) are divided in 3 groups randomly. Find the probability that the sum of the numbers on the balls, in each group, is odd.

The number of hydroxyl group(s) in N is

During the Inter - School Debate championship, students of the 9^(th) grade of lIIions Public School had to be divided into group.It was found that if they were divided into group of four, one students was left out. If they were divided into group of six, then too, one students was left out. What was the minimum number of students in the grade such that they can be perfectly divided in group of five ?

The series of natural numbers is divided into groups :(1);(2,3,4);(5,6,7,8,9)... and so on. The sum of numbers in the n^(th) group is

The series of natural numbers is divided into groups :(1);(2,3,4);(5,6,7,8,9)... and so on. The sum of numbers in the n^(th) group is

In a collage art class, 76 students are painting a mural on one wall of the campus amphitheater. The wall has been divided into 23 sections, and each section will be painted by a group of either 2 or 4 students. How many more sections will be painted by a group of 4 students than by a group of 2 students?