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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?


There does not exist a bijection from S1 to S2


There exists a surjection from S1 to S2


There exists a bijection from S1 to S2


There does not exist an injection from S1 to S2


Please comment below if you find anything wrong in the above post
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