Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Question
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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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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