Question 21: a) Find the sum of 2 and 6. b) Calculate the product of 6 and 3. c) Divide 2 by 5. Question 22: a) Represent info on Venn diagram. b) How many guests took both drinks?

$$2 + 6 = 8$$

The sum is $\boxed{8}$.

b) Calculate the product of the values of 6 and 3.

$$6 \times 3 = 18$$

The product is $\boxed{18}$.

c) Divide the value of 2 by the value of 5.

$$\frac{2}{5} = 0.4$$

The result is $\boxed{0.4}$.

Question 22:

a) Represent the information on the Venn diagram.
The provided image already contains a Venn diagram with the following labels, which correctly represent the given information:

• Universal set $N(\Sigma) = 50$.
• Set for Soda $n(S) = 30$.
• Set for Beer $n(B) = 25$.
• Region for only Soda: $30 - Y$.
• Region for both (intersection): $Y$.
• Region for only Beer: $25 - Y$.
• Region for neither (outside circles): 3.

b) How many guests took both drinks?

The total number of guests is the sum of those who took only soda, only beer, both drinks, and none of the drinks.

$$N(\Sigma) = (\text{only soda}) + (\text{only beer}) + (\text{both}) + (\text{none})$$ $$50 = (30 - Y) + (25 - Y) + Y + 3$$

$$50 = 30 - Y + 25 - Y + Y + 3$$ $$50 = (30 + 25 + 3) + (-Y - Y + Y)$$ $$50 = 58 - Y$$

$$Y = 58 - 50$$ $$Y = 8$$

The number of guests who took both drinks is $\boxed{8}$.