MHT CET · Maths · Probability
A four digit number is to be formed using the digits 1, 2, \(3,4,5,6,7\) (no digit is being repeated in any number). Then, the probability that it is \(>4000\), is
- A \(3 / 2\)
- B \(1 / 2\)
- C 4/7
- D \(3 / 7\)
Answer & Solution
Correct Answer
(C) 4/7
Step-by-step Solution
Detailed explanation
Total cases \(={ }^{7} P_{4}=840\)
Favourable cases \(=4 \times 6 \times 5 \times 4=480\)
\(\therefore\) Required probability \(=\frac{480}{840}=\frac{4}{7}\)
Favourable cases \(=4 \times 6 \times 5 \times 4=480\)
\(\therefore\) Required probability \(=\frac{480}{840}=\frac{4}{7}\)
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