Draw the Venn diagram and answer the following questions: 1. 2. 3. In a class of 30 students, 19 are studying French, 12 are studying Spanish and 7 are studying both French and Spanish. How many students are not taking any foreign languages? Out of forty students, 14 are taking English Composition and 29 are taking Chemistry. If five students are in both classes, a. How many students are in neither class? b. How many are in either class? c. How many students are taking English only? d. How many students are taking Chemistry only? 100 students were interviewed; 28 took PE, 31 took BIO, 42 took ENG, 9 took PE and BIO, 10 took PE and ENG, 6 took BIO and ENG, 4 took all three subjects. a. How many students took none of the three subjects? b. How many students took PE but not BIO or ENG? c. How many students took BIO and PE but not ENG?

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter14: Counting And Probability
Section14.1: Counting
Problem 84E
icon
Related questions
Question
ACTIVITY 4
APPLICATION OF VENN DIAGRAM
Draw the Venn diagram and answer the following questions:
1.
In a class of 30 students, 19 are studying French, 12 are studying Spanish and 7
are studying both French and Spanish. How many students are not taking any
foreign languages?
2.
Out of forty students, 14 are taking English Composition and 29 are taking
Chemistry. If five students are in both classes,
a. How many students are in neither class?
b. How many are in either class?
c. How many students are taking English only?
d. How many students are taking Chemistry only?
100 students were interviewed; 28 took PE, 31 took BIO, 42 took ENG, 9 took
PE and BIO, 10 took PE and ENG, 6 took BIO and ENG, 4 took all three
subjects.
a. How many students took none of the three subjects?
b. How many students took PE but not BIO or ENG?
c. How many students took BIO and PE but not ENG?
A class of 40 students completed a survey on what pets they like. The choices
were: Cats, Dogs, and Birds. Everyone liked at least one pet.
10 students liked Cats and Birds but not dogs
6 students liked Cats and Dogs but not birds
2 students liked Dogs and Birds but not Cats
2 students liked all three pets
10 students liked Cats only
9 students liked Dogs only
1 student liked Birds only
How many students liked:
a. Cats?
b. Birds?
c. Dogs?
3.
4.
Transcribed Image Text:ACTIVITY 4 APPLICATION OF VENN DIAGRAM Draw the Venn diagram and answer the following questions: 1. In a class of 30 students, 19 are studying French, 12 are studying Spanish and 7 are studying both French and Spanish. How many students are not taking any foreign languages? 2. Out of forty students, 14 are taking English Composition and 29 are taking Chemistry. If five students are in both classes, a. How many students are in neither class? b. How many are in either class? c. How many students are taking English only? d. How many students are taking Chemistry only? 100 students were interviewed; 28 took PE, 31 took BIO, 42 took ENG, 9 took PE and BIO, 10 took PE and ENG, 6 took BIO and ENG, 4 took all three subjects. a. How many students took none of the three subjects? b. How many students took PE but not BIO or ENG? c. How many students took BIO and PE but not ENG? A class of 40 students completed a survey on what pets they like. The choices were: Cats, Dogs, and Birds. Everyone liked at least one pet. 10 students liked Cats and Birds but not dogs 6 students liked Cats and Dogs but not birds 2 students liked Dogs and Birds but not Cats 2 students liked all three pets 10 students liked Cats only 9 students liked Dogs only 1 student liked Birds only How many students liked: a. Cats? b. Birds? c. Dogs? 3. 4.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 7 steps with 6 images

Blurred answer