How many different elements does A" have when A has m

Solution:

Step 1:

 In this problem, we have to find that how many different elements does An have when A has m elements and n is a positive integer.

Step2:

 Let’s consider A have m element {a1,a2…….am}

n is a positive integer  n>0

An={a1,a2…….am}n

As we know about total number of element in a set is given by its power set P(A)=2m 

 If we have An   set with m elements then we can write as P(A)=(2m)n

So we can write =2m.n

Step 3: