Home
Class 12
MATHS
Let E={1,2,3,4} and F={1,2}. Then, the n...

Let `E={1,2,3,4} and F={1,2}`. Then, the number of onto function form `E ` to `F ` is (A) `14 ` (B) `16 ` (C) `12 ` (D) `8 `

A

14

B

16

C

12

D

8

Text Solution

Verified by Experts

The correct Answer is:
A
The number of onto function from
`E={1,2,3,4} " to " F={1,2}`
`=` Total number of functions which map E to F `-` Number of functions for which map `f(x) = 1 and f(x) = 2 " for all "x in E=2^(4)-2=14`
Promotional Banner

Similar Questions

Explore conceptually related problems

Let E={1,2,3,4,} and F={1,2}. Then the number of onto functions from E to F, is ______.

Let E={1,2,3,4}a n dF={1,2}dot If N is the number of onto functions from EtoF , then the value of N//2 is

Statement 1: let E={1,2,3,4}a n dF={a ,b}dot Then the number of onto functions from EtoFi s14. Statement 2: Number of ways in which four distinct objects can be distributed into two different boxes is 14 if no box remains empty.

Let A={1, 2, 3, 4} and B={4, 8, 9, 10} . A function f:A to B given by f={(1, 4), (2, 8),(3, 9), (4, 10)} is a

Let A={1, 2, 3, 4} and B={4, 8, 9, 10} . A function f:A to B given by f={(1, 4), (2, 8),(3, 9), (4, 10)} is a

Let A ={ 1,2,3,4,} and B = { a,b,c,d }. Give a function from A to B for each of the : not one-to -one but onto.

Let A ={ 1,2,3,4,} and B = { a,b,c,d }. Give a function from A to B for each of the : one -to -one and onto.

Let A ={ 1,2,3,4,} and B = { a,b,c,d }. Give a function from A to B for each of the : one-to-one but not onto.