Let R={(1,2),(1,4),(2,1),(2,4),(3,2),(3,4)} R={(1,2),(1,4),(2,1),(2,4),(3,2),(3,4)} is a relation on set A={1,2,3,4} A={1,2,3,4} Suppose a Rn b means that there is a path of length n from a to b Which of the elements are R3?
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Solution:
R={(1,2),(1,4),(2,1),(2,4),(3,2),(3,4)}
is a relation on set A={1,2,3,4}
a R3 b means that there is a path of length 3 from a to b.
So, such element is only (1,4) as 4-1=3 units.