IIT Madras Bsc Online Degree Maths Graded assignment week 1 Answers | Solution | Part -1.

IIT Madras - BSc Degree Student Community

10 May 202206:26

Summary

TLDRIn this video from the IIT Madras student community, the instructor explains a Venn diagram problem from a graded assignment in Mathematics 1. The scenario involves 350 students taking various combinations of Mathematics, Statistics, and English courses. The video walks through the calculation of how many students took only one, two, or all three courses, and how many didn't take any course at all. The instructor debunks incorrect options and validates correct ones, concluding that 125 students took no course and 175 took at least two courses.

Takeaways

🏫 The video is a tutorial for a graded assignment in Mathematics at IIT Madras.
📚 Discusses a problem involving a college with 350 students and their course selections.
🔢 120 students took Mathematics, 150 took Statistics, and 162 took English.
👥 70 students took both Mathematics and Statistics, 72 both Mathematics and English, and 90 both Statistics and English.
📈 30 students took all three courses: Mathematics, Statistics, and English.
📊 Explains how to use a Venn diagram to solve set theory problems involving multiple groups.
🧩 Breaks down the total number of students taking two subjects by subtracting those taking all three.
📐 Calculates the number of students taking only one subject by subtracting those taking multiple subjects from the total taking that subject.
📝 Derives that 5 students took only Mathematics, 20 only Statistics, and 25 only English.
📉 Finds that 125 students did not take any of the three courses by subtracting the total enrolled from the college's total student population.
📖 Concludes that 175 students took at least two courses by adding those taking two subjects only and those taking all three.

Q & A

What is the total number of students in the college?
-The total number of students in the college is 350.
How many students took mathematics?
-120 students took mathematics.
How many students took statistics?
-150 students took statistics.
How many students took English?
-162 students took English.
How many students took both mathematics and statistics?
-70 students took both mathematics and statistics.
How many students took both mathematics and English?
-75 students took both mathematics and English.
How many students took both statistics and English?
-90 students took both statistics and English.
How many students took all three courses: mathematics, statistics, and English?
-30 students took all three courses.
How many students took only mathematics and statistics, but not English?
-40 students took only mathematics and statistics, but not English.
How many students took only mathematics and English, but not statistics?
-45 students took only mathematics and English, but not statistics.
How many students took only statistics and English, but not mathematics?
-60 students took only statistics and English, but not mathematics.
How many students took only mathematics, without any other subjects?
-5 students took only mathematics, without any other subjects.
How many students took only English, without any other subjects?
-25 students took only English, without any other subjects.
How many students took only statistics, without any other subjects?
-20 students took only statistics, without any other subjects.
How many students did not take any of the courses?
-125 students did not take any of the courses.
How many students took at least two courses?
-175 students took at least two courses.