Question

1) Solve with the help of Venn diagram:

(1) In a college, all students passed either in Accounts or Economics or in both. 275 studentspassed in Accounts, 225 students passed in Economics, 200 students passed in bothsubjects.Find out the number of students passed in1. Accounts only2. Economics only3. Exactly in one subjectAnd also4. find total number of students in the college.
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Answer 1

Step-by-step explanation:

1). 75

2).25

3).100

4).300

Answer 2

Given:

Number of students that passed in Accounts$=275$

Number of students that passed in Economics$=225$

Number of students that passed in both subjects$=200$

To find: the number of students passed in

1. Accounts only

2. Economics only

3. Exactly in one subject

Solution:

Draw the required venn diagram.

Part-(1)

Observe that from the venn diagram the number of students that passed in Accounts only is $275$.

Part-(2)

Observe that from the venn diagram the number of students that passed in economics only is $225$.

Part-(3)

Observe from the venn diagram the number of students that passed in exactly one subject is,

$275+225=500$