JEE Mains · Maths · STD 12 - 13. probability
The probability that a randomly chosen one-one function from the set \(\{a, b, c, d\}\) to the set \(\{1,2,3,4,5\}\) satisfies \(f(a)+2 f(b)-f(c)=f(d)\) is
- A \(\frac{1}{24}\)
- B \(\frac{1}{40}\)
- C \(\frac{1}{30}\)
- D \(\frac{1}{20}\)
Answer & Solution
Correct Answer
(D) \(\frac{1}{20}\)
Step-by-step Solution
Detailed explanation
\(n ( s )=5_{ c _{4}} \times 4 !=120\) \(f ( a )\) + \(2 f(b)\) = \(f ( c )\) + \(f ( d )\) \(5\) \(2 \times 1\) \(4\) \(4\) \(4\) \(2 \times 2\) \(3\) \(5\) \(1\) \(2 \times 3\) \(2\) \(5\) \(n ( A )=2 \times 3=6\)…
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