Let A be a set containing 10 distinct element | vedclass

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(B) Let $A$ be a set with $n$ elements,where $n = 10$.$A$ function from set $A$ to set $A$ assigns each of the $10$ elements in the domain to any of t

Vedclass · Accepted Answer

$10^{10}$

Vedclass · Answer

(B) Let $A$ be a set with $n$ elements,where $n = 10$.$A$ function from set $A$ to set $A$ assigns each of the $10$ elements in the domain to any of the $10$ elements in the codomain.For each element in the domain,there are $10$ possible choices in the codomain.Since there are $10$ elements in the domain,the total number of distinct functions is given by the product of the number of choices for each element:Total functions $= 10 	imes 10 	imes \dots 	imes 10$ ($10$ times) $= 10^{10}$.Thus,the correct option is $B$.

Let $A$ be a set containing $10$ distinct elements. Then the total number of distinct functions from $A$ to $A$ is:

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