Calculate the number of people who do not like either tea or coffee

To solve this problem, we need more details about the total number of people surveyed and how many people like tea, coffee, or both. However, I can outline the general steps for solving it using a common approach:

### General Approach:

1. **Total Number of People (N):** Assume the total number of people surveyed is \(N\).
2. **People Who Like Tea (T):** Let \(T\) be the number of people who like tea.
3. **People Who Like Coffee (C):** Let \(C\) be the number of people who like coffee.
4. **People Who Like Both Tea and Coffee (B):** Let \(B\) be the number of people who like both tea and coffee.

### Step 1: Find the Number of People Who Like Either Tea or Coffee (or both):
This is given by the formula for the union of two sets:
\[
T \cup C = T + C - B
\]

### Step 2: Calculate the Number of People Who Do Not Like Either Tea or Coffee:
This is simply the total number of people minus those who like either tea or coffee:
\[
\text{People who don't like either} = N - (T + C - B)
\]

If you provide the specific numbers for \(N\), \(T\), \(C\), and \(B\), I can calculate the exact number of people who don't like either tea or coffee.

Would you like to provide those details, or do you have any questions? 

### Related Questions:
1. What if everyone in the group likes at least one beverage—how would the result change?
2. How would you calculate the number of people who like only tea?
3. What is the probability that a randomly chosen person likes both tea and coffee?
4. How would the calculation change if we introduce a third beverage?
5. How can we visualize this problem using a Venn diagram?

### Tip:
Always verify if there's an overlap (people who like both) when calculating the total liking at least one option.

Calculate the number of people who do not like either tea or coffee.

This problem involves calculating the number of people who do not like either tea or coffee using set theory. The solution includes key concepts such as the union of sets, complement of a set, and the Inclusion-Exclusion Principle. Ideal for students in Grades 8-10.

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