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

• A. \(\frac{5}{8}\)
• B. \(\frac{7}{8}\)
• C. \(\frac{1}{35}\)
• D. \(\frac{1}{8}\)

Hint:

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.

Answer 1

The Correct Option is B