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For a positive integer n ≥ 4, let {0, 1]" denote the set of all binary strings of length n. The relation R in { 0, 1 }" contains all pairs of binary strings (s, t) such that the leftmost digit in s coincides with the leftmost digit in t and the rightmost digit in s coincides with the rightmost digit in t. Indicate the correct statement. OR is an equivalence relation that partitions {0, 1}" into equivalence classes of cardinality 2-4 OR is not an equivalence relation. OR is an equivalence relation that partitions {0, 1}" into 2n-2 equivalence classes. OR is an equivalence relation that partitions {0, 13" into 4 equivalence classes. O None of these. OR is an equivalence relation that partitions {0, 1}" into equivalence classes of cardinality 4.

For a positive integer n ≥ 4, let {0, 1]" denote the set of all binary strings of length n. The relation R in { 0, 1 }" contains all pairs of binary strings (s, t) such that the leftmost digit in s coincides with the leftmost digit in t and the rightmost digit in s coincides with the rightmost digit in t. Indicate the correct statement. OR is an equivalence relation that partitions {0, 1}" into equivalence classes of cardinality 2-4 OR is not an equivalence relation. OR is an equivalence relation that partitions {0, 1}" into 2n-2 equivalence classes. OR is an equivalence relation that partitions {0, 13" into 4 equivalence classes. O None of these. OR is an equivalence relation that partitions {0, 1}" into equivalence classes of cardinality 4.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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For a positive integer n>4, let {0, 1}" denote the set of all binary strings of length n. The relation R in {0, 1}" contains all pairs of binary strings (s, t) such that the leftmost digit in s coincides with the leftmost digit in t and the rightmost digit in s coincides with the rightmost digit in t. Indicate the correct statement. OR is an equivalence relation that partitions {0, 1}" into equivalence classes of cardinality 2n-4. OR is not an equivalence relation. O R is an equivalence relation that partitions {0, 1}" into 2-2 equivalence classes. O R is an equivalence relation that partitions {0, 1}" into 4 equivalence classes. O None of these. O R is an equivalence relation that partitions {0, 1}" into equivalence classes of cardinality 4.
Transcribed Image Text:For a positive integer n>4, let {0, 1}" denote the set of all binary strings of length n. The relation R in {0, 1}" contains all pairs of binary strings (s, t) such that the leftmost digit in s coincides with the leftmost digit in t and the rightmost digit in s coincides with the rightmost digit in t. Indicate the correct statement. OR is an equivalence relation that partitions {0, 1}" into equivalence classes of cardinality 2n-4. OR is not an equivalence relation. O R is an equivalence relation that partitions {0, 1}" into 2-2 equivalence classes. O R is an equivalence relation that partitions {0, 1}" into 4 equivalence classes. O None of these. O R is an equivalence relation that partitions {0, 1}" into equivalence classes of cardinality 4.
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