Question

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

• A. 101
• B. ${10}^{10}$
• C. $2^{10}$
• D. $2^{10}-1$

Answer 1

The correct option is B ${10}^{10}$

Let set A = {a1, a2, ...................., a10}

Then f(ai) = aj for j = 1, 2, ........, 10 and for i = 1, 2, ......., 10

Hence, the number of possible combination is ${10}^{10}$.