Read the two statements and choose the correct option.

I. In $\mathbb{Z}_5$, every class except $[0]$ has a multiplicative inverse.

II. In $\mathbb{Z}_6$, $[2] \times [3] = [0]$.

Explanation

1. 01

   I: 5 is prime, so 1, 2, 3, 4 each share no factor with it; the inverses are $[1], [3], [2], [4]$. True.

2. 02

   II: $2 \times 3 = 6 \equiv 0 \pmod{6}$. True: two non-zero classes can multiply to $[0]$.