Melisa is going to stack, on a table, 10 circular pieces of cardboard whose radii are 1 cm, 2 cm, 3 cm, …, 10 cm (each a different natural number of centimetres), one on top of another with their centres aligned.
In how many different ways can Melisa arrange this stack so that, viewed from above, exactly one of the circles is completely hidden from view?
A36
B40
C45
D48
E54