GATE | GATE CS 2021 | Set 2 | Question 21

Consider the following sets, where n≥2:

S1: Set of all n×n matrices with entries from the set {a,b,c}
S2: Set of all functions from the set {0,1,2 ... ,n²−1} to the set {0,1,2}

Which of the following choice(s) is/are correct?

(A)

There does not exist a bijection from S1 to S2

(B)

There exists a surjection from S1 to S2

(C)

There exists a bijection from S1 to S2

(D)

There does not exist an injection from S1 to S2

Answer

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