Q. 165.0( 1 Vote )

# Write down the power sets of the following sets.i. A = {x, y}ii. X = {a, b, c}iii. A = {5, 6, 7, 8}iv. A = Φ

Power set is nothing but all the possible combinations of the available set. Which can form a subset of that power set. For a set with ‘n’ elements, we will have 2n elements in the power set.

i. P(A) = {Φ {x}, {y}, {x, y}} - 22 =4 elements

ii. P(X)= {Φ, {a}, {b}, {c}, {a, b}, {a, c}, {b, c}, {a, b, c}} – 23 =8 elements

iii. P(A) = {Φ, {5}, {6}, {7}, {8}, {5, 6}, {5, 7}, {5, 8}, {6, 7}, {6, 8}, {7, 8}, {5, 6, 7}, {5, 6, 8}, {5, 7, 8}, {6, 7, 8}, {5, 6, 7, 8}} – 24 =16 elements

iv. P(A) = {Φ} – 20 =1=one element

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Big Bang Theory32 mins
Big Bang Theory37 mins
What an Atom holds?41 mins
Applications of Laws of Motion34 mins
Building blocks of brain27 mins
Quiz | Conservation of Momentum33 mins
Genius Quiz | Laws of Motion38 mins
Recently facts of 5th state of Matter: Bose Einstein Condensate52 mins
Quiz | Become a Master of Conservation of Momentum32 mins
Test your knowledge of Laws of motion44 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
view all courses