Question

Number of power set of {a, b}, where a and b are distinct elements

a) 3 b) 4 c) 2 d) 5​

Answer 1

Answer:

2

Step-by-step explanation:

There are 2 number of power set of {a, b}, where a and b are distinct elements.

Answer 2

SOLUTION

CORRECT QUESTION

TO CHOOSE THE CORRECT OPTION

Number of elements in power set of {a, b}, where a and b are distinct elements

a) 3

b) 4

c) 2

d) 5

EVALUATION

We know that for any set S the set of all subsets of S is called power set of S and is denoted by P(S)

If S contains n distinct elements

Then power set of S contains $\sf {2}^{n}$ elements

Here the given set is {a, b}, where a and b are distinct elements

So the set contains 2 distinct elements

Hence the required number of of elements in power set of {a, b}

$= {2}^{2}$

= 4

FINAL ANSWER

Hence the correct option is b) 4

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