Find the number of options we have for each position of the order.
G
Practice makes perfect
Let's look at how many options we have if we want to arrange the five students as required.
The tallest students must stand in the center.
Since there is only one tallest student, we have no other option but to put him or her there.
The shortest two students should go on the ends.
We have 2 options — to put one of them at the left end and the remaning one at the right end.
The remaining two students should go in the remaining positions.
We have 2 options — to put one of them to the left of the center and the remaining one to the right of the center.
Since these choices can be made independently of each other, the number of different arrangements is the product of these numbers.
2*2*1*1*1=4
The correct answer is G.
