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BITSAT 2012
Exam
BITSAT
Year
2012
Subject
Mathematics
Chapter
Permutation and Combination

BITSAT 2012 · Mathematics · Permutation and Combination

The number of positive integral solution of abc=30 is

The number of positive integral solution of abc=30is\mathrm{abc}=30 \mathrm{is}

Options

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

Correct answer

B. 27

Step-by-step solution

We have : 30=2×3×5.30=2 \times 3 \times 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=273 \times 3 \times 3=27
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