TS EAMCET · Maths · Permutation Combination
Number of ways in which the number 831600 can be split into two factors which are relatively prime is
- A \(8\)
- B \(64\)
- C \(32\)
- D \(16\)
Answer & Solution
Correct Answer
(D) \(16\)
Step-by-step Solution
Detailed explanation
\(831600=2^4 \times 3^3 \times 5^2 \times 7 \times 11\) \(2^4\) can be a factor of one of the 2 factors. Similarly \(3^3, 5^2, 7,11\). Required number \(=\frac{2 \times 2 \times 2 \times 2 \times 2}{2!}=16\)
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