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?
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.
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.