Explain defination 1 Share with your friends Share 0 Neha Sethi answered this Dear student Cartesian Products of sets Let P and Q be any two non-empty sets .The set of all ordered pairsp,q such that p∈P and q∈Q is called the cartesian product of the sets P and Q.It is denoted by P×QThus, P×Q=p,q: p∈P and q∈QIf P=ϕ or Q=ϕ, then we define P×Q=ϕIllustrationConsider two sets A=DL,MP,KA, where DL,ML,KA represents Delhi, madhya pradesh and karnataka.and B=01,02,03 representing codes of plates .Now there we are imposing restriction that code begins with an element from set AThen A×B is given by:=DL,01,DL,02,DL,03,MP,01,MP,02,MP,03,KA,01,KA,02,KA,03Hence there will be 9 such pairs in the cartesian product.Note: Order of the elements is crucial and cant be over looked. Similarly second illustration has been done. Regards 0 View Full Answer
