Question

Let A={Φ,{Φ},{Φ,{Φ}}} and B={1,2}. How many relations from A into B?

Answer 1

Answer: There are 64 relations from A to B.

Step-by-step explanation:

Number of relation from set A to B = $2^{\text{ (Number of eklemnts in A x B)}}$

$=2^{\text{(Number of elements in set A ) x (Number of elements in set B)}}$

Since, A={Φ,{Φ},{Φ,{Φ}}} and B={1,2}

i.e. Number of elements in set A = 3

Number of elements in set B = 2

So, Number of relation from set A to B = $2^{3\times 2}$

$= 2^6= 64$

Hence, there are 64 relations from A to B.