In how many ways can Rs.16 be divided into 4 persons when none of them get less than Rs. 3?

In how many ways can Rs.16 be divided into 4 persons when none of them get less than Rs. 3?

  1. A

    70

  2. B

    35

  3. C

    64

  4. D

    192

    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:

    Required number of ways
    = Coefficient of x16 inx3+x4+x5++x164
    = Coefficient of x16 in x121+x+x2++x124
    = Coefficient of  x4 in 1x134(1x)4
    = Coefficient of  x4  in 113x5+×1+4x++(r+1)(r+2)(r+3)3!xr

    =(4+1)(4+2)(4+3)3!=35

    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.