A group of 50 guests were surveyed about the drinks they consumed. 30 guests took soda, 25 guests took beer, and 3 guests took neither. Represent this information on a Venn diagram and determine how m

The Venn diagram provided in the question already correctly represents the given information:

• The rectangle represents the universal set of all guests, $N(\Sigma) = 50$.
• The left circle represents guests who took soda, $n(S) = 30$. The portion taking only soda is $30 - Y$.
• The right circle represents guests who took beer, $n(B) = 25$. The portion taking only beer is $25 - Y$.
• The overlapping region (intersection) represents guests who took both soda and beer, denoted by $Y$.
• The region outside both circles but inside the rectangle represents guests who took none of the drinks, which is 3.