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Question

Number of functions from Set-A containing 5 elements to a Set-B containing 4 elements is

  1. 5 to the power of 4
  2. 4 to the power of 5
  3. 4!
  4. 5!

Hint:

In this question we will assume the number of functions from Set- A to be containing m elements and Set-B to be containing n elements. Using total function is n to the power of m we can further find the value.

The correct answer is: 4 to the power of 5


    Let number of functions from Set- A containing m elements (m=5) and Set-B containing n elements (n=4).
    So, total function = n+ n+ ........m th times =n to the power of m equals 4 to the power of 5
    Hence, number of functions from Set-A containing 5 elements to a Set-B containing 4 elements is 4 to the power of 5.

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