Home
Class 12
MATHS
Let A = {1, 2, 3, ..., n} and B= {a,b}. ...

Let A = {1, 2, 3, ..., n} and B= {a,b}. Then the number of surjections from A into B is

A

`""^(n)P_(2)`

B

`2^(n) - 2`

C

`2^(n)-1`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • MODEL TEST PAPER - 18

    ICSE|Exercise Section - B|10 Videos

  • MODEL TEST PAPER - 18

    ICSE|Exercise Section - C|10 Videos

  • MODEL TEST PAPER - 17

    ICSE|Exercise Section - C|10 Videos

  • MODEL TEST PAPER - 2

    ICSE|Exercise Section - C|10 Videos

Similar Questions

Explore conceptually related problems

If A={1,2,3,.....n],nge2 and B={a,b} , then the number of surjections from A to B is

Let A={1,2,..., n} and B={a , b }. Then number of surjections from A into B is nP2 (b) 2^n-2 (c) 2^n-1 (d) nC2

Let A={1,2,..., n} and B={a , b }. Then number of surjections from A into B is nP2 (b) 2^n-2 (c) 2^n-1 (d) nC2

Let A={1,2,..., n} and B={a , b }. Then number of subjections from A into B is n_P_2 (b) 2^n-2 (c) 2^n-1 (d) nC2

If A={1,2,3) and B={a,b} , then the number of functions from A to B is

If A={0,1,2,3,4} and B={a,b} , then the number of onto functions from A to B is

Let A = {x , y , z} " and " B = {1, 2} . Find the number of relations from A to B .

Let A={x ,\ y , z}n d\ B={a , b} . Find the total number of relations from A into B.

Let A = {1, 2} and B = {3, 4} . Find the number of relations from A to B.

Let A={2,3} and B={4,5,6}. Find the number of relations from A to B.