1 votes 1 votes What will be Cardinality of Cartesian product of a non empty set with a set containing element phi? A={1,2,3} and B={Phi} Than |A*B| will be 0. Mathematical Logic discrete-mathematics set-theory&algebra set-theory + – Ayan21 asked Sep 2, 2018 Ayan21 658 views answer comment Share Follow See all 0 reply Please log in or register to add a comment.
0 votes 0 votes yes, when we do cross product with an empty set, result will be empty set cardinality = 0. ref : https://math.stackexchange.com/questions/305766/why-is-the-cartesian-product-of-a-set-a-and-empty-set-an-empty-set#305774 daksirp answered Sep 2, 2018 daksirp comment Share Follow See all 2 Comments See all 2 2 Comments reply smsubham commented Dec 26, 2019 reply Follow Share But here {∅} isn't empty set. {} and ∅ is empty set not {∅}. See: https://en.wikipedia.org/wiki/Empty_set 0 votes 0 votes CSHuB commented Dec 26, 2019 reply Follow Share Same doubt. 0 votes 0 votes Please log in or register to add a comment.