Question:
Let A = {x, y, z, u} and B = {a, b}. A function f : A → B is selected randomly. The probability that the function is an onto function is
Let A = {x, y, z, u} and B = {a, b}. A function f : A → B is selected randomly. The probability that the function is an onto function is
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When calculating the probability of selecting an onto function, use the principle of inclusion-exclusion. First, calculate the total number of functions, then subtract the cases where the function is not onto, and finally divide by the total number of functions to find the probability.
Updated On: Apr 6, 2025
- \(\frac{5}{8}\)
- \(\frac{7}{8}\)
- \(\frac{1}{35}\)
- \(\frac{1}{8}\)
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The Correct Option is B
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