In Mr.Penguin's math class, there are five boys and nine girls. At the end of the term, Mr.Penguin wants to take a picture of the whole class. He wants all students to stand in a row, with boys standing in decreasing order according to their height (assuming that they have distinct heights) from left to right and girls standing in increasing order according to their height (assuming that they have different heights) from left to right. In how many ways can this be done? The boys need not stand together, and the girls need not stand together.
