# Is this powerset right?

1. Mar 17, 2012

### charmedbeauty

1. The problem statement, all variables and given/known data

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

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

2. Relevant equations

3. 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 dont know what is meant by the use of this |..| around a power set?

2. Mar 18, 2012

### LCKurtz

What does A*B mean?

3. Mar 18, 2012

### charmedbeauty

Sorry its meant to mean A times B

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

4. Mar 18, 2012

### LCKurtz

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

5. Mar 18, 2012

### charmedbeauty

Its a Cartesian product

6. Mar 18, 2012

### 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.