MyQuestionIcon

11

You visited us 11 times! Enjoying our articles? Unlock Full Access!

Empty Set

Let A and B b...

Question

Let A and B be two finite sets having m and n elements respectively. Then the total number of mappings from A to B is

A

m n

No worries! We‘ve got your back. Try BYJU‘S free classes today!

B

2^{m n}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

C

m^{n}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

D

n^{m}

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Open in App

Solution

The correct option is D $n^{m}$
Let A and B be two infinite sets having m and n elements respectively. Then total number of mappings from A to B is $n^{m}$ .
Hence, option D is correct.

Suggest Corrections

thumbs-up

0

Similar questions

A

B

be two finite sets having

m

n

elements respectively. Then the total number of mapping from

A

B

Q. If R is a relation from a finite set A having m elements of a finite set B having n elements, then the number of relations from A to B is

(a) 2^mn
(b) 2^mn − 1
(c) 2mn
(d) mⁿ

A

B

be two finite sets having

m

n

elements respectively such that

m \leq n

. A mapping is selected at random from the set of all mappings from

A

B

. The probability that the mapping selected is an injection, is

Q. Let A and B be two finite sets having m and n elements respectively. If m

\leq

n, the total number of injective functions from A to B is

Let n(A) = m and n(B) = n. Then the total number of non-empty relations that can be defined from

A to B is
(a) mⁿ
(b) n^m − 1
(c) mn − 1
(d) 2^mn − 1

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Standard XII Mathematics

Join BYJU'S Learning Program

CrossIcon