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Tcecarenko [31]
3 years ago
7

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

Mathematics
1 answer:
ahrayia [7]3 years ago
5 0

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.

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