If x^2 - y^3 is a positive non zero integer for all possible integral values of x, y satisfying 1 =< x =< 9 and 1 =< y =< 9 then how many ordered combinations of (x, y) are possible?
20 Combination...
x + y + z = 19 1 < x < 5, 4 < y < 8, 10 < z < 14 How many outcomes are possible for integral values of x, y and z?
Find the number of ordered pairs (x,y) satisfying the system of equations -
x + y^2 = 12 x^2 + y = 12