Q11

MSQ1 mark

Consider the following sets, where $n \geq 2$ : $S_1$ : Set of all $n \times n$ matrices with entries from the set $\{ a, b, c\}$ $S_2$ : Set of all functions from the set $\{0,1,2, \dots, n^2-1\}$ to the set $\{0, 1, 2\}$ Which of the following choice(s) is/are correct?

(A)

There does not exist a bijection from $S_1$ to $S_2$

(B)

There exists a surjection from $S_1$ to $S_2$

(C)

There exists a bijection from $S_1$ to $S_2$

(D)

There does not exist an injection from $S_1$ to $S_2$

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