This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

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Question 21: a) Find the sum of the values of 2 and 6. Step 1: Add the numbers. The sum is .
b) Calculate the product of the values of 6 and 3. Step 1: Multiply the numbers. The product is .
c) Divide the value of 2 by the value of 5. Step 1: Perform the division. The result is .
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 . • Set for Soda . • Set for Beer . • Region for only Soda: . • Region for both (intersection): . • Region for only Beer: . • Region for neither (outside circles): .
b) How many guests took both drinks? Step 1: Use the principle of inclusion-exclusion. The total number of guests is the sum of those who took only soda, only beer, both drinks, and none of the drinks.
Step 2: Simplify the equation.
Step 3: Solve for . The number of guests who took both drinks is .
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Question 21: a) Find the sum of the values of 2 and 6. Step 1: Add the numbers.
This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.