Question

If n(a)=4 find n[p(a)]

Answer 1

Generally the formula for finding the power of a set is 2^n where n is the number of elements in the given set.

So here n=2

So 2^2=4 is cardinal of P ( means number of max subsets)

Now understand what do you mean by this.

Power of a set = the maximum number of subset you can get from that set.

Here power is 4 means you can get 4 subsets i.e. P(A)={{},{1},{2},{1,2}}

Remember empty set is a subset of every set.Another example:

B={1,2,3}

P(B)={ {},{1},{2},{3},{1,2},{2,3},{1,3}{1,2,3}}

In formula here n=3

So 2^3=8 and if you notice total number of subset is 8. If any queries comment.

Answer 2

Answer:

The value of n[p(a)] is 16.

Step-by-step explanation:

Given:

n(a) = 4

To find:

The value of n[p(a)]

Solution:

If a set have n elements then the number of subset in that set = 2^n

Here,

n (a)= 4, which means (a) has 4 elements.

As, it is given

n = 4

So, the number of subset in (a) = n[p(a)] = 2^n = 2^⁴

Number of subset in (a) = 16.

Hence, the value of n[p(a)] is 16.

#SPJ3