DISCRETE MATH Which of the following are triples in the rela

DISCRETE MATH

Which of the following are triples in the relation {(a, b, c) | a, b, and c are integers with 0

Solution

Since relation should follow below property

0 < a < b < c < 5

(3,4,5) is not a valid option because c = 5

(2,3,4) is a valid triplet because 0 < 2 < 3 < 4 < 5

(1,2,4) is a valid triplet because 0 < 1 < 2 < 4 < 5

(1,3,4) is a valid triplet because 0 < 1 < 3 < 4 < 5

(0,1,2) is not a valid triplet because a = 0

(1,2,3) is a valid triplet because 0 < 1 < 2 < 3 < 5