Question

if n (A) = 2 and n (B ) = 3 then the number of relations from A to B is a. 2 raise to par 4 b. 2 raise to par 3 c. 3 raise to par 2 d. 2 raise to par 6​

Answer 1

Answer:

(i) A={a,b,c,d};B={d,c,b,a}

The order in which the elements of a set are listed is not significant.

∴A=B

(ii) A={4,8,12,16};B={8,4,16,18}

It can be seen that 12ϵA but 12



ϵB.

∴A



=B

(iii) A={2,4,6,8,10}

B={x:x is a positive even integer and x≤10}

={2,4,6,8,10}

∴A=B

(iv) A={x:x is a multiple of 10}

So, A={10,20,30,40....}

B={10,15,20,25,30....}

It can be seen that 15ϵB but 15



ϵA.

∴A



=B