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Manipal MET2024MathematicsPermutation and Combination

Total number of even divisions of 2079000 which are divisible by 15 are

Options

  1. A54
  2. B128
  3. C108
  4. D72

Correct answer

C. 108

Step-by-step solution

2079000=2^3 3^3 5^3 7 11 for the divisor to be even and divisible by 15 ; 2,3 and 5 must be occur once. There, the total number of required divisors are 3 3 3 2 2=108

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