In a survey of 100 people, 60 like tea, 50 like coffee, and 20 like both. How ma

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Question: In a survey of 100 people, 60 like tea, 50 like coffee, and 20 like both. How many people like either tea or coffee?

Options:

Correct Answer: 80

Solution:

Using the principle of inclusion-exclusion, the number of people who like either tea or coffee is 60 + 50 - 20 = 90.

In a survey of 100 people, 60 like tea, 50 like coffee, and 20 like both. How many people like either tea or coffee?

In a survey of 100 people, 60 like tea, 50 like coffee, and 20 like both. How many people like either tea or coffee?

Step 1: Identify the number of people who like tea. This is given as 60.
Step 2: Identify the number of people who like coffee. This is given as 50.
Step 3: Identify the number of people who like both tea and coffee. This is given as 20.
Step 4: To find the number of people who like either tea or coffee, use the formula: (Number of tea lovers) + (Number of coffee lovers) - (Number of people who like both).
Step 5: Plug in the numbers: 60 (tea) + 50 (coffee) - 20 (both) = 90.
Step 6: The result, 90, is the number of people who like either tea or coffee.

Inclusion-Exclusion Principle – A method used to calculate the size of the union of two or more sets by including the sizes of the individual sets and excluding the sizes of their intersections.