Consider the following sets, where n 2:S1: Set of all n x n matrices with entries from the set {a, 6, 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?

Question

Consider the following sets, where n > 2:S1: Set of all n x n matrices with entries from the set {a, 6, 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?

TuteeHUB · Accepted Answer

There exists a surjection from S1 to S2.

TuteeHUB · Answer

There does not exist an injection from S1 to S2.

TuteeHUB · Answer

There exists a bijection from S1 to S2

TuteeHUB · Answer

There does not exist a bijection from S1 to S2

1.	Consider the following sets, where n > 2:S1: Set of all n x n matrices with entries from the set {a, 6, 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 an injection from S1 to S2.
B.	There exists a bijection from S1 to S2
C.	There exists a surjection from S1 to S2.
D.	There does not exist a bijection from S1 to S2
Answer» C. There exists a surjection from S1 to S2.

Consider the following sets, where n > 2:S1: Set of all n x n matrices with entries from the set {a, 6, 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?

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