Maths-
General
Easy

Question

Let A be a set containing 10 distinct elements, then the total number of distinct function from A to A is

  1. 10 to the power of 10
  2. 101
  3. 2 to the power of 10
  4. 2 to the power of 10 minus 1

The correct answer is: 10 to the power of 10


    Given a set containing 10 distinct elements and f colon A not stretchy rightwards arrow A Now, every element of a set  can make image in 10 ways.
    thereforeTotal number of ways in which each element make images equals 10 to the power of 10 .

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