heyeyeye3275 heyeyeye3275
  • 21-09-2020
  • Mathematics
contestada

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

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JeanaShupp
JeanaShupp JeanaShupp
  • 24-09-2020

Answer: There are 64 relations from A to B.

Step-by-step explanation:

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

[tex]=2^{\text{(Number of elements in set A ) x (Number of elements in set B)}}[/tex]

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 = [tex]2^{3\times 2}[/tex]

[tex]= 2^6= 64[/tex]

Hence, there are 64 relations from A to B.

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