Published by:
CGP EDU Academic Team
Published on: August 13, 2026
Let 
and 
.Then the number of onto functions from E to F is
Text Solution
Verified by ExpertsThe correct answer is:
A
The number of ways to give image to each element of E in F is 2.
∴ ∴ The total number of ways to give images to the elements of E in 
.
But in two of them all the elements of E have the same image 1 or the same image 2 (the mapping being into in these two cases).
∴ ∴ The number of onto functions 
.
Prepare Smarter with CGP Edu
Get practice questions, solutions, and test series in one place.
Write a Review
Share your experience with this question and solution.
Commentary
Send your comment, doubt, correction, or feedback to admin.
Similar Questions
Explore conceptually related problems
If , then is
Let , If is continuous in , then is
The function is
Suppose for . If is the function whose graph is the reflection of the graph of with respect to …
The function , where assumes its minimum value only at one point, if
If a, b be two fixed positive integers such that for all real x , then f ( x ) is a periodic funct…