TS EAMCET · Maths · Functions
Functions are formed from the set \(\mathrm{A}=\left\{a_1, a_2, a_3\right\}\) to another set \(\mathrm{B}=\left\{b_1, b_2, b_3, b_4, b_5\right\}\).
If a function is selected at random, the probability that it is a one-one function is
- A \(\frac{1}{2}\)
- B \(\frac{13}{25}\)
- C \(\frac{3}{5}\)
- D \(\frac{12}{25}\)
Answer & Solution
Correct Answer
(D) \(\frac{12}{25}\)
Step-by-step Solution
Detailed explanation
Total functions \( = |\mathrm{B}|^{|\mathrm{A}|} = 5^3 = 125 \). One-one functions \( = \mathrm{P}(|\mathrm{B}|, |\mathrm{A}|) = \mathrm{P}(5, 3) = 5 \times 4 \times 3 = 60 \). Probability…
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