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{ w | w∈ Σ {0,1} consists of an equal number of 0 and 1 }a.{0011,10,1001,001110}b.{0011,101,10101,001110}c.{0011,12,10101,001110}d.{0011,10,10101,001110}

Question

{ w | w∈ Σ {0,1} consists of an equal number of 0 and 1 }

a. {0011,10,1001,001110}
b. {0011,101,10101,001110}
c. {0011,12,10101,001110}
d. {0011,10,10101,001110}

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Solution

a. {0011, 1001, 001110} - These strings have an equal number of 0s and 1s.

b. {0011, 10101, 001110} - These strings have an equal number of 0s and 1s.

c. {0011, 10101, 001110} - These strings have an equal number of 0s and 1s. Note that '12' is not a valid string as it contains a digit not in the set {0,1}.

d. {0011, 10101, 001110} - These strings have an equal number of 0s and 1s.

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