In how many ways can 7 cross marks X be placed in the given figure so that each row has at least one cross mark?

In how many ways can 5 boys and 3 girls be seated in a row so that each girl is between 2 boys?

In how many ways can 30 marks be allotted to 8 question if each question carries at least 2 marks?

In how many ways can 10 identical toys be given to 3 children such that each receive at least one toy ?

In how many ways can 7 boys and 2 girls be seated in a row so that two giirls are together ?

In how many ways can 20 identical toys be distributed among 4 children so that each one gets at least 3 toys?

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?

Six X's are to be placed in boxes of the figure such that each row contains at least one X , In how many different ways can this be done?

Six X have to be placed in the squares of figure such that each row contains at least one X. The number of ways in which this can be done is: