See Our team

Wondering how we keep quality?

Got unsolved questions?

Ask Questions

Engineering
GATE
CBSE
NCERT
Psychology
English
Computer
Constitution
Astrology
Yoga
Economics
Physics
Biology
Electronics
Microprocessor
Career
Interview
Anatomy
Botany

## In a survey of 260 college students, the following data were obtained:

->In a survey of 260 college students, the following data were obtained: 64had taken a mathematics course, 94 had taken a computer science course,58 had taken a business course, 28 had taken both a mathematics and a business course, 26 had taken both a mathematics and a computer science course, 22 had taken both a computer science and a business course, and 14 had taken all three typesi.How many of these students had taken none of the three courses?ii. How many had taken only a computer science courses ? -By:Nikhil-bharadwaj

Taged users:

Likes:

|Nikhil-bharadwaj

Dislikes:

Be first to dislike this question

Talk about thisDelete|Like|Dislike|

## Answers

Solution:Given: U=260 |A|=64 |B|=94 |C|=58 |A ∩ C| = 28 |A ∩ B| = 26 |B ∩ C| = 22 |A ∩ B ∩ C| = 14

|A U B U C| =? |B1| =?

|A U B U C| = A + B + C – |A ∩ B| – |B ∩ C| – |A ∩ C| + |A ∩ B ∩ C|

= 64 + 94 + 58 – 26 – 22 – 28 + 14

= 154

i. |A U B U C| = U – |A U B U C|

= 260 – 154

= 106

ii.|B1| = |B| - |B ∩ C| - |B ∩ A| + |A ∩ B ∩ C|

= 94 – 22 – 26 + 14 = 60Nikhil-bharadwaj

Likes:

Be first to like this answer

Dislikes:

Be first to dislike this answer

Talk about this|Once you have earned teacher badge you can edit this questionDelete|Like|Dislike|

------------------------------------

## Can you help us to add better answer here? Please see this