Question

a set has 4 elements, then total number of subsets is:-
a) 4 b) 14 c) 16 d) none of these​

Answer 1

Answer:

c) 16

Step-by-step explanation:

Hii mate,

it's a formula

if a set has n elements, then, it would have $2^{n}$ subsets.

so, here,

n=4

no. of subsets=2⁴=16

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Answer 2

The total number of subsets that can be formed from a set of 4 elements is 16.

• The number of subsets can be determined using a formula:

• For a set having 'n' number of elements, the number of subsets is 2^n.

So, in this case n= 4

So, number of subsets is 2^4 = 16

Example:

If a set has only one element, then the subsets would be a 'null' set along with itself.

Similarly, for a set with two elements, we have 4 subsets( including one null set).

• In order to find the number of proper subsets, we need to find: 2^n - 1

• It is because the subset identical to the given set cannot be considered to be a proper subset and hence eliminated.