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BITSAT2012MathematicsPermutation and CombinationActual

The number of positive integral solution of abc =30 is

Options

  1. A30
  2. B27
  3. C8
  4. DNone of these

Correct answer

B. 27

Step-by-step solution

We have : 30=2 3 5 . So, 2 can be assigned to either a or b or ci.e. 2 can be assigned in 3 ways. Similarly, each of 3 and 5 can be assigned in 3 ways. Thus, the number of solutions is 3 3 3=27

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