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Minimum number of Relations:-  

The Answer is $5$. Please see my Reason behind it:- 

1. $R_6$ and $E_5$ CAN be merged giving $1$ relation we cant merge with $E_3$, because its a strong entity even though the participation is total.

2. $E_1$ and $E_4$ Gives total of $1$ relation.

3. $R_1$ Will have its separate relation

3.$E_2$, $E_3$ , $R_3$, and $R_5$ can be merged.

4. $R_2$ will have separate table because of many to many (Doubt here)

Hence total $5$ tables we got.

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