IPMAT IndoreModern Math > EasyNone of theseA×B≠B×AA \times B \neq B \times AA×B=B×A∅∈A×B\emptyset \in A \times B∅∈A×BA×B=B×AA \times B=B \times AA×B=B×A✅ Correct Option: 4Related questions:IPMAT Indore 2022Let P(X)P(X)P(X) denote power set of a set XXX. If AAA is the null set, then the number of elements in P(P(P(P(A))))P(P(P(P(A))))P(P(P(P(A)))) is _________.IPMAT Indore 2020In a class, students are assigned roll numbers from 1 to 140. All students with even roll numbers opted for cricket, all those whose roll numbers are divisible by 5 opted for football, and all those whose roll numbers are divisible by 3 opted for basketball. The number of students who did not opt for any of the three sports isIPMAT Indore 2019Let the set P={2,3,4,...,25}P= \{2,3,4,..., 25\}P={2,3,4,...,25}. For each k∈Pk ∈ Pk∈P, define Q(k)={x∈PQ(k)= \{x ∈ PQ(k)={x∈P such that x>kx > kx>k and kkk divides x}x\}x}. Then the number of elements in the set P−Uk=225Q(k)P - U_{k=2}^{25} Q(k)P−Uk=225Q(k) is