A house has a number which need to be identified. The following three statements are given that can help in identifying the house number?

- If the house number is a multiple of $3$, then it is a number from $50$ to $59$.
- If the house number is NOT a multiple of $4$, then it is a number from $60$ to $69$.
- If the house number is NOT a multiple of $6$, then it is a number from $70$ to $79$.

What is the house number?

- $54$
- $65$
- $66$
- $76$