To arrange the plays, we need to know their approximate production dates:
- The Taming of the Shrew (1590)
- Romeo and Juliet (1595-1596)
- Much Ado About Nothing (1598-1599)
- Twelfth Night (1601)
- The Winter's Tale (1610-1611)
So the order is: B (The Taming of the Shrew), D (Romeo and Juliet), C (Much Ado About Nothing), A (Twelfth Night), E (The Winter's Tale).
Thus, option 4 is correct: B, D, C, A, E.