solve this question using 3 variable venn diagram

Directions: Let us imagine that Aamna and Muhammad are interning under the supervision of Department Coordination Officer at Department of Computer Science CUI Wah. DC Office received 150 applications during the admission process for SP21. Aamna and Muhammad were tasked to manage the admission details on a presentable sheet for upcoming meeting with HOD that will be held on Monday, 1st of February 2021. After carefully collect the data, Muhammad accidentally spills coffee on the details sheet. Luckily, only one datum (single piece of information) is obfuscated, marked (stain). Your task is to summarize the data and despite the loss of one data point and Answer the questions provided at the end.

Here is the data that you have.

7 applicants did not provide the complete information.

113 applicants choose BS-Software Engineering for their admission.

99 applicants choose BS-Computer Science for their admission.

98 applicants choose BS-Media Science for their admission.

79 applicants choose to both BS-Software Engineering & BS-Computer Science.

84 applicants choose to both BS-Software Engineering & BS-Media Science.

82 applicants choose to both BS-Media Science & BS-Computer Science.

(stain) choose to all three disciplines for their admission.

Requirements:

I. Plot all the values in 3 circle Venn diagrams.

II. Solve the equation, where you find the value of datum and other unknown regions.

III. How many applicants choose all the three disciplines?

IV. How many applicants choose only BS-Software Engineering?

V. How many applicants choose both BS-Software Engineering and BS-Media Science?

VI. How many applicants choose both BS-Software Engineering and BS-Media Science?

VII. How many applicants choose both BS-Computer Science and BS-Media Science?

VIII. How many students were rejected due to wrong information?

IX. How many applicants choose exactly one discipline?

X. How many applicants choose exactly two discipline?