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

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

What is the house number?

1. $54$
2. $65$
3. $66$
4. $76$

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