Question

If n(A)=P and n(B)=Q and number of subsets of set A is 48 more then number of subset of set B then find the value of P and Q ?

Answer 1

Answer:

set A and B have m and n elements respectively. The set made by subsets of a finite set A and B is known as power set i.e. P(A) and P(B). <br> We know, if set A has n elements then P(A) has

elements. <br> Thus, The total no. of subsets of a finite set

and set

<br> So, According to the question <br>

<br>

<br> On comparing the power, both side <br> n=3 and m-n=3 <br> implies m=6 and n=3

Step-by-step explanation:

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