Suppose n is a positive integer and Sn is the set of all binary strings of length n. Indicate thecorrect statement for the relation on S, such that for every pair (s, t) in SnXSn satisfies st if and only if the number of 0's in s does not exceed the number of O's in t.(Sn) is a poset, but(Sn) is a poset andO (Sn) is not a poset.O None of these.is not a total order in Sn.is a total order in Sn.

Suppose n is a positive integer and Sn is the set of all binary strings of length n. Indicate the correct statement for the relation on S, such that for every pair (s, t) in S×S₁ satisfies s t if and only if the number of 0's in s does not exceed the number of 0's in t. (Sn) is a poset, but (Sn) is a poset and O (Sn) is not a poset. O None of these. is not a total order in S. is a total order in Sn.

Suppose n is a positive integer and Sn is the set of all binary strings of length n. Indicate the correct statement for the relation on S, such that for every pair (s, t) in S×S₁ satisfies s t if and only if the number of 0's in s does not exceed the number of 0's in t. (Sn) is a poset, but (Sn) is a poset and O (Sn) is not a poset. O None of these. is not a total order in S. is a total order in Sn.

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter1: Fundamentals

Section1.7: Relations

Problem 4E: 4. Let be the relation “congruence modulo 5” defined on as follows: is congruent to modulo if...

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