6 boys and 7 girls are available for a counselling. In how many ways, we can arrange them in a row, if middlest one is a boy and girls are sat on both the corners?
How many ways are possible to arrange 4 boys and 3 girls for a dinner, if there are two straight benches of capacity 5 and 2 persons for their sitting?
In a group of 6 boys and 4 girls, four children are to be selected. In how many different ways can they be selected such that at least one boy should be there?
There are 3 boys and 4 girls. We have to arrange any 1 boy at the center and any 2 girls at corners. In how many methods these persons can be arranged.
How many ways can we arrange the numbers 1 through 9 in a 3x3 grid such that the following conditions hold? - Every number is greater than the number directly above it. - Every number is greater than the number immediately to the left of it.