JEE Mains · Maths · STD 11 - 6. permutation and combination
The number of \(5-\)digit natural numbers, such that the product of their digits is \(36\), is
- A \(179\)
- B \(178\)
- C \(177\)
- D \(180\)
Answer & Solution
Correct Answer
(D) \(180\)
Step-by-step Solution
Detailed explanation
\(3 \times \frac{5 !}{2 ! 2 !}+\frac{5 !}{3 ! \times 2 !}+\frac{5 !}{2 !}+\frac{5 !}{3 !}=180\)
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