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

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

  1. A

    72

  2. B

    96

  3. C

    90

  4. D

    98

    Register to Get Free Mock Test and Study Material

    +91

    Verify OTP Code (required)

    I agree to the terms and conditions and privacy policy.

    Solution:

    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=72
    Case 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 

    Chat on WhatsApp Call Infinity Learn

      Register to Get Free Mock Test and Study Material

      +91

      Verify OTP Code (required)

      I agree to the terms and conditions and privacy policy.