A marching band of 240 musicians are to march in a rectangular formation with s rows of exactly t musicians each. There can be no less than 8 musicians per row and no more than 30 musicians per row. How many different rectangular formations Z are possible?	Choose the correct choice from the following.
A) 3 B) Z=4 C) Z=5 D) Z=6 E) Z=8
The combinations could be {(1,240),(2,120),(3,80),(4,60),(5,48),(6,40),(8,30),(10,24),(12,20),)15,16),(16,15),(20,12),(24,10),(30,8),(40,6),(48,5),(60,4),(80,3),(120,2),(240,1)}   Of these we are told 8&lt;=t&lt;=30 So we can remove these pairs, and we are left only with.   {(8,30,(10,24),(12,20),(15,16),(16,15),(20,12),(24,10),(30,8)}   Hence 8.Z=8
<result>E</result>
A marching band of 240 musicians are to march in a rectangular formation with s rows of exactly t musicians each. There can be no less than 8 musicians per row and no more than 30 musicians per row. How many different rectangular formations Z are possible?