A band has 72 members who will all be marching during halftime. They need to march in rows with the same number of students per row. If there must be between 5 and 20 students per row, in how many possible row-lengths can the band be arranged?
72=2332This gets us, given the constraints on row length,6×12, 8×9, 9×8, 12×6so 4 different row lengths
Rom: I think you skipped one: Listfor(n, 5, 20, (72 % n)) = 6 x 12, 8 x 9, 9 x 8, 12 x 6, 18 x 4
We just need to find all the divisors of 72 between 5 and 20
These are
6, 8, 9 ,12, 18
So
Students per row X rows = 72
6 12
8 9
9 8
12 6
18 3
5 possible row lengths
I think it's supposed to be 18 and 4 in the last row
