# For any three set

Here we are provided with the cardinality of three set A, B, C along with the cardinality of their intersection and those values are as follows

n(A) = 17

n(B) = 17

n(C) = 17

n(A B) = 7

n (B C) = 6

(A C) = 5

Here we have to find the value of n(A U B U C)

We know that when we have the cardinality of three known sets with the cardinality of their intersections and we have to find the cardinality of A U B U C we can use the formula

n(A U B U C) = n(A) + n(B) + n(C) – n(A B) – n(B C) – n(A C) + n(A B C)

…… (i)

So using the formula putting the values we will find

n(A U B U C) = n(A) + n(B) + n(C) – n(A B) – n(B C) – n(A C) + n(A B C)

= 17 + 17 + 17 – 7 – 6 – 5 + 2

= 53 – 18 + 2

= 55 – 20

= 35

So n(A U B U C) = 35

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos  Sphere and Hemisphere16 mins  Heights and Distances-I45 mins  Cube and Cuboid41 mins  History - Concept and Questions57 mins  Resources and Development Revision28 mins  Corrosion: Types, Pros and Cons41 mins  Right Circular Cone And Frustum43 mins  Right Circular Cylinder45 mins  Revision on Substitution and Elimination Method44 mins  Area Related to Circles- Important Formula and Concepts59 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation view all courses RELATED QUESTIONS :

In a school of 40Tamil Nadu Board - Math

Verify n(A Tamil Nadu Board - Math

In a village of 1Tamil Nadu Board - Math

Verify n(A Tamil Nadu Board - Math