Let n be a four-digit integer in which all the digits are different. If x is number of odd integers and .y is number of even integers, then

When n is odd.The number of such numbers is 8 x 8 x 7 x 5 = 2240.When n is even. If unit's place filled with 0, then the total number is 9 x 8 x 7 = 504. If unit's place is not filled with 0, then the total number is 8 x 8 x 7 x 4 =1792.Hence, the total number of even numbers is  y = 504 + 1792 = 2296.