For an integer n>4, let S, be the set of all binary strings of length n. The relation R on Sn is defined as the set containing all ordered pairs of binary strings(s, t) such that the first 2 bits of s agree with the first 2 bits of t. Indicate the correct statement.OR is an equivalence relation that partitions S into 4 equivalence classes, each of them of cardinality 2¹-2OR is an equivalence relation that partitions S₂ into 2-2 equivalence classes, each of them of cardinality 4.OR is an equivalence relation that partitions S₂ into 22-4 equivalence classes, each of them of cardinality 16.OR is an equivalence relation that partitions S₂ into 16 equivalence classes, each of them of cardinality 22-4.O None of these.

Given,For an integer , let be the set of all binary strings of length . The relation on is…

For an integer n>4, let Sn be the set of all binary strings of length n. The relation R on Sn is defined as the set containing all ordered pairs of binary strings (s, t) such that the first 2 bits of s agree with the first 2 bits of t. Indicate the correct statement. OR is an equivalence relation that partitions S₂ into 4 equivalence classes, each of them of cardinality 22-2 OR is an equivalence relation that partitions S₂ into 2"-2 equivalence classes, each of them of cardinality 4. OR is an equivalence relation that partitions S₂ into 22-4 equivalence classes, each of them of cardinality 16. OR is an equivalence relation that partitions S₂ into 16 equivalence classes, each of them of cardinality 22-4. O None of these.