Question

Q3. How many subsets a set has containing 5 elements.​

Answer 1

Answer:

Hey mate here is your answer.

All sets are proper subsets except the set that contains all of the elements. The number of subsets is always 2^n where n is the number of elements in the set; in this case 5. There should be 2^5=32 subsets including the empty set and the set itself.

Answer 2

There are 32 subsets of a set containing 5 elements.

Given :

A set containing 5 elements.

To find :

The number of subsets

Solution :

Step 1 of 2 :

Write down the number of elements

Here it is given that the set contains 5 elements.

Step 2 of 2 :

Find number of subsets

We know that if a set A contains n elements then the number of subsets of A $\sf = {2}^{n}$

Since the set contains 5 elements

So n = 5

Hence the number of subsets

$\sf = {2}^{5}$

$\sf =32$

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