Let A be a set containing 10 distinct element | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(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:

Similar Questions

If the ratio $C(2n, 3) : C(n, 3)$ is equal to $11 : 1$,find $n$.

In how many ways can $5$ prizes be distributed among four students when every student can take one or more prizes?

How many numbers greater than $100$ and divisible by $5$ can be made from the digits $3, 4, 5, 6$,if no digit is repeated?

In how many ways can the letters of the word '$ALGEBRA$' be arranged when both $A$ do not come together?

Assuming that no two consecutive digits are same,the number of $n$-digit numbers is:

Vedclass Test Series

Exam Paper Generator

Online Exam Module