1 votes 1 votes Power set of empty set has exactly how many number of subset? Ankit Srivastava 7 asked Aug 27, 2017 Ankit Srivastava 7 968 views answer comment Share Follow See all 3 Comments See all 3 3 Comments reply Tesla! commented Aug 27, 2017 i moved by Tesla! Aug 28, 2017 reply Follow Share A={phi} empty set Power set of A = {phi,{phi}} Thus it has 2 elements 0 votes 0 votes G.K.T commented Aug 27, 2017 reply Follow Share https://math.stackexchange.com/questions/193498/cardinality-of-power-set-of-empty-set. you may refer this. 0 votes 0 votes nishant279 commented Aug 27, 2017 reply Follow Share A = {Φ} is not empty set. It is a set with element Φ. So your answer is incorrect. It should be: A = Φ or A = {} P = {Φ} or P = {{}}. Number of subsets will be 2^0 = 1 1 votes 1 votes Please log in or register to add a comment.
1 votes 1 votes Empty set has $0$ element . $S={ \Phi }$ Number of element of power set of $S=2^{0}=1$ sourav. answered Aug 27, 2017 sourav. comment Share Follow See all 0 reply Please log in or register to add a comment.
0 votes 0 votes There are total 3 Subset of empty set... = phi, {phi}, {phi,{phi}} Nayak Pankaj answered Dec 8, 2017 Nayak Pankaj comment Share Follow See all 0 reply Please log in or register to add a comment.