JEE Mains · Maths · STD 11 - 14. probability
The probability that a randomly chosen \(5-digit\) number is made from exactly two digits is
- A \(\frac{121}{10^{4}}\)
- B \(\frac{150}{10^{4}}\)
- C \(\frac{135}{10^{4}}\)
- D \(\frac{134}{10^{4}}\)
Answer & Solution
Correct Answer
(C) \(\frac{135}{10^{4}}\)
Step-by-step Solution
Detailed explanation
First Case: Choose two non-zero digits \({ }^{9} C _{2}\) Now, number of 5 -digit numbers containing both digits \(=2^{5}-2\) Second Case: Choose one non-zero \& one zero as digit \({ }^{9} C _{1}\) Number of 5 -digit numbers containg one non zero and one zero both…
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