There are 500 children in a school.For a P.T. drill they have to stand a manner that the number of rows is equal to number of columns.How many children would be left out in this arrangement?

Had Ajita scored 10 more marks in her mathematics test out of 30 marks, 9 times that number would have been the square of her actual marks. How many marks did she get in the test?

Find the number of arrangements of the letters of the word INDEPENDENCE. How many of these start with P.

There are unlimited number of identical balls of three different colours. How many arrangements of atmost 7 balls in a row can be made by using them?

Solve the problems. John and Jivanti together have 45 marbles .Both of them lost 5 marbles each, and the product of the number of marbles they now have is 124. We would like to find out how many marbles they had to start with.

Mr. P has m children from his first wife and Mrs. Q has m + 1 children by her first husband. They marry and have children of their own . The whole family has 10 children . Assuming that two children of the same parents do not fight , the maximum number of fights that can take place among children is :

A family consists of a grandfather, 5 sons and daughters and 8 grand child. They are to be seated in a row for dinner. The grand children wish to occupy the 4 seats at each end and the grandfather refuses to have a grandchild on either side of him. In how many ways can the family be made to sit?

A person tries to form as many different parties as he can, out of his 20 friends. Each party should consist of the same number. How many friends should be invited at a time? In how many of these parties would the same friends be found?

Find the number of arrangements of the letters of the word PERMUTATIONS.In how many of these arrangements (i) word start with P and ends with S

In a group of children, 35 play football out of which 20 play football only, 22 play hockey, 25 play cricket out of which 11 play cricket only. Out of these 7 play cricket and football but not hockey, 3 play football and hockey but not cricket and 12 play football and cricket both. How many play all the three games ? How many play cricket and hockey but not football, how many play hockey only? What is the total number of children in the group?

If a box of sweets is divided among 24 children,they will get 5 sweets each.How many would each get,if the number of the children is reduced by 4?