Consider a graph whose vertices are points in the plane with integer co-ordinates (x,y) such that 1≤x≤n and 1≤y≤n, where n≥2 is an integer. Two vertices […]

Let F be the set of one-to-one functions from the set {1,2,…,n} to the set {1,2,…,m}, where m≥n≥1. (a) How many functions are members of F? […]

Consider the following function. Function F (n, m: integer): integer; begin If (n <= 0) or (m <= 0) then F:=1 else F:= F(n-1, m) + […]

A size-balanced binary tree is a binary tree in which for every node, the difference between the number of nodes in the left and right subtree […]