Question

1. If A and B are two sets such that n (A) = 2 and n (B) = 3, find the number of relations
from

(i) A to B
(ii) B to A
(iii) A to A.

Answer 1

Answer:

A to B

Step-by-step explanation:

i hope it will help you

Answer 2

Answer:

(i) 64

(ii) 64

(iii) 16

Step-by-step explanation:

(i) A to B

n(A)=2. n(B)=3

number of relation from A to B = 2^n(A)xn(B)

=2^2x3

=2^6

=64

(ii) B to A

number of relation from B to A = 2^n(B)xn(A)

= 2^3x2

=2^6

=64

(iii) A to A

number of relation from A to A=2^n(A)xn(A)

=2^2x2

=2^4

=16