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Question

The number of onto functions that can be defined from A={a,b,c,d,e} to {1,2} is

  1. 30
  2. 0
  3. 60
  4. 32

Hint:

In this question, the number of onto functions that can be defined from A= {a, b, c, d, e} to {1,2}. Formula to find the number of onto functions from set A to set B We have to find the number of onto functions from a set A with n number of elements to set B with m number of elements. Total number of functions from A to B = m to the power of n.

The correct answer is: 32


    Given, A{abcd, e} and B{,2}

    Element a can has an image in 2 ways, i.e., (1 or 2).

    Similarly, a, bc, d and e can have an image in 5 ways.

    Thus, total number of ways =2×2×2×2×2=32

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