Sets And Relations Question 6
Question 6 - 2024 (29 Jan Shift 2)
If $R$ is the smallest equivalence relation on the set ${1,2,3,4}$ such that ${(1,2),(1,3)} \subset R$, then the number of elements in $\mathrm{R}$ is
(1) 10
(2) 12
(3) 8
(4) 15
Show Answer
Answer (1)
Solution
Given set ${1,2,3,4}$
Minimum order pairs are
$(1,1),(2,2),(3,3),(4,4),(3,1),(2,1),(2,3),(3,2)$,
$(1,3),(1,2)$
Thus no. of elements $=10$
