Let there be a relation R having n tuples t=[t1,t2,t3……tn]. Let S1, S2, S3……Sn/2 be the subsets of R such that every Si contains only two tuples for example S1={t1,t5} and so on . Also \({S_1} \cap {S_2} \cap \ldots \cap {s_{n/2}} = \oint\). Which of the following statement is correct.
(i) \(({S_1} \cup {s_{2\;}} \cup \;{S_3} \ldots .. \cup {S_{n/2}})\)\(⊆ R\)
(ii) \(({S_1} \cup {s_{2\;}} \cup \;{S_3} \ldots .. \cup {S_{n/2}})\)\(= R\)
(iii) \(({S_1}\; \cap {s_{2\;}} \cap \;{S_3} \ldots .. \cap {S_{n/2}})\)\(\subset R\)
1
Only (i)
2
(ii) and (iii)
3
(i) and (iii)
4
None of the above
5
Question Not Attempted