List the tuples in the relation a b c a b and c are positive

Solution

given that a, b, and c are positive integers so all of them must be greater than 0

since all of them are less than 5 so max value of possible integer is 4

so c=4

given that b < c then b=3

given that a < b then b=2

so tuple is (2,3,4)

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take c=4, b=3 then a=1

so tuple is (1,3,4)

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now take c=3 then b=2 then a=1

so tuple is (1,2,3)

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thee are only three combinations possible for given conditions so final answer is

(1,2,3), (1,3,4), (2,3,4)