The figures 4,5, 6, 7,8 are written in every possible order. The number of numbers greater than 56000 is

The number forms by the figure 4, 5, 6, 7, 8 which is greater than 56000 is in two cases.Case I: Let the ten thousand digit place number be greater than 5.The number of numbers =3C1×4C1×3C1×2C1×1C1=3×4×3×2×1=72Case ll: Let the ten thousand digit number be 6 and thousand digit number be either 6 or greater than 6.Then, the number of numbers =3C1×3C1×2C1×1C1=3×3×2×1=18 Required number of ways = 72 + 18 = 90