There are a total of 16 chocolates - 4 each in the flavors of mango, cherry, strawberry and coffee. There are also 5 children. If each child is allowed to choose their own favorite flavor, what is the probability that all of them will get flavors of their choice?
There is a rectangle ABCD, with sides AB = CD = 56, and sides and BC = DA = 90. The rectangle is rotated 90° clockwise about C, then rotated 90°clockwise about the new location of the point that D after the first rotation. What is the length of the path traveled by point A?