Matt_92 said:Homework Statement
In a group of 30 people each person twice read a book from books A, B, C. 23 people read book A, 12 read book B and 23 read book C.
(a) How many people read books A and B?
(b) How many people read books A and C?
(c) How many people read books B and C?
Homework Equations
The Attempt at a Solution
I'm not sure how to start. Any hints will be very much appreciated.
Thank you
A set is a collection of distinct objects, called elements, that are grouped together based on a common characteristic or property.
The intersection of two sets is the set of elements that are common to both sets. It is represented by the symbol ∩.
To find the intersection of two sets, you can list out all the elements of each set and then identify the elements that are common to both sets. Another method is to use a Venn diagram, where the overlapping region represents the intersection of the two sets.
The cardinality of an intersection is the number of elements in the intersection set. It can be calculated by counting the number of elements in the overlapping region of a Venn diagram or by subtracting the number of elements that are not in the intersection from the total number of elements in the two sets.
The concept of intersection of sets is used in various fields such as mathematics, statistics, computer science, and even in everyday life. It helps in identifying commonalities and overlaps between different groups of data, which can be useful in making decisions, solving problems, and analyzing relationships between different sets of data.