2. In a survey of 200 people, 2:3 like Pokhara only and Lumbeni only. 50 of them like both places and 20 like none of the places.

a. Write the set notation of the people who do not like both places.
b. Find the number of people who like only one place.
c. How many like Lumbeni?
d. How many like at least one place?

Question

12-08-2024
Mathematics

Answered

2. In a survey of 200 people, 2:3 like Pokhara only and Lumbeni only. 50 of them like both places and 20 like none of the places.

a. Write the set notation of the people who do not like both places.
b. Find the number of people who like only one place.
c. How many like Lumbeni?
d. How many like at least one place?

Answer :

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GinnyAnswer GinnyAnswer · Answer 1 · 2024-08-12T07:37:30-04:00

Final answer:

The detailed answer explains set notation for people who don't like both places, calculates those liking only one place, the number of people who like Lumbeni, and those liking at least one place.

Explanation:

a. Set notation: The set of people who do not like both places can be represented as (Pokhara only ∪ Lumbeni only)'. This set includes those who like only one place or none.

b. Number of people liking only one place: To find this, subtract the number of people who like both places and those who like none from the total. In this case, it would be 200 - 50 (both) - 20 (none) = 130.

c. Number of people who like Lumbeni: Add those who like Lumbeni only and those who like both, which is 100 in this scenario.

d. Number of people who like at least one place: This includes those who like one place, both places, or either of the places, which totals up to 180.

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