Is the Power Set of Cartesian Products Correct?

[charmedbeauty]

Homework Statement

if A ={a}, B={b,c}, C={d,e,f,g,h,i,j}

Find P(A*B)
and |P(B*C)|

Homework Equations

The Attempt at a Solution

so for the first one I had

[{(a,b)}, {(a,c)}, {(a,b),(a,c)}, ∅]

and secondly 2^14.

is this right I don't know what is meant by the use of this |..| around a power set?

 

[LCKurtz]

What does A*B mean?

 

[charmedbeauty]

What does A*B mean?

Sorry its meant to mean A times B

dont know what the proper sign is ? or do I just use ()

 

[LCKurtz]

Sorry its meant to mean A times B

dont know what the proper sign is ? or do I just use ()

Sets have union and intersection operations. What is the definition of A "times" B?

 

[charmedbeauty]

Sets have union and intersection operations. What is the definition of A "times" B?

Its a Cartesian product

 

[LCKurtz]

Ok, now that I understand your notation your answers look fine. The absolute value signs around a set just means how many elements it contains. So your $2^{14}$ is correct.