Yes, she is correct
1/2 + 1/2 = 1 or 0.5 + 0.5 = 1 so half of a wall plus half of a wall equals one hole wall.
That's as simple as I can put it mathematical reasoning. I hope this helps
I tried to make a list and found 27 ways
tell me if I missed any
order is
(3point,2point,1point)
(0,0,15)
(0,1,13)
(0,2,11)
(0,3,9)
(0,4,7)
(0,5,5)
(0,6,3)
(0,7,1)
(1,0,12)
(1,1,10)
(1,2,8)
(1,3,6)
(1,4,4)
(1,5,2)
(1,6,0)
(2,0,9)
(2,1,7)
(2,2,5)
(2,3,3)
(2,4,1)
(3,0,6)
(3,1,4)
(3,2,2)
(3,3,0)
(4,0,3)
(4,1,1)
(5,0,0)
27 is my answer