Radha is drawing a dot Rangoli(a beautiful pattern of lines joining dots with chalk powder as in Fig.) She has 8 dots in a row.How many dots will her Rangoli have for r rows ?How many dots are there if there are 8 rows?If there ae 10 rows?
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200 logs are stacked in the following manner : 20 logs in the bottom row, 19 in the next row, 18 in the row next to it and so on (see Fig), in how many rows are the,200 logs placed and how many logs are in the top row ?

In an examination hall, there are four rows of chairs. Each row has 8 chairs one behind the other. There are two classes sitting for the examination with 16 students in each class. It is desired that in each row, all students belong to the same class and that no two adjacent rows are allotted to the same class. In how many ways can these 32 students be seated?

Six X 's have to be placed in the squares of the figure below, such that each row contains atleast one X. in how many different ways can this be done?

A group of soldiers was asked to fall in line making rows three.It was found that there was one soldier extra.Then they were asked to stand in rows of five.It was found there were 2 soldiers too many.they were three soldiers who could not be adjusted.At least how many soldeirs were there in the group?

Three married couples are to be seated in a row having six seats in a cinema hall. If spouses are to be seated next to each other, in how many ways can they be seated ? Find also the number of ways of their seating if all the ladies sit together.