In order to ensure convenient access to books for students from economically weaker sections, a school has set up a book-bank. The task at hand is to stack the donated books in a way that allows for easy retrieval based on topics and ensures an equal number of copies in each stack. This will facilitate efficient borrowing and utilization of books by the students.



To stack the books in the book-bank, the following steps can be followed:

1. Categorizing the books by topic: The first step is to categorize the donated books based on their topics. This can be done by reviewing the titles, subjects, and content of each book. Some common topics may include mathematics, science, history, literature, etc.

2. Counting the number of books per topic: After categorizing the books, count the number of books available for each topic. This will help determine the number of stacks required and the number of copies in each stack.

3. Determining the ideal stack size: To ensure an equal number of copies in each stack, find the common factor or divisor of the total number of books for each topic. This will indicate the ideal stack size.

4. Creating stacks: Based on the determined stack size, create stacks for each topic. Place an equal number of copies of each book in the respective stack. The books within each stack can be arranged alphabetically or based on any other suitable criterion.

5. Labeling and organizing the stacks: Label each stack with the corresponding topic to make it easier for students to locate the desired books. Additionally, maintain an inventory or catalog of the books available in the book-bank to aid in tracking and monitoring the borrowing and returning of books.



Stacking the books in the book-bank based on topics and with an equal number of copies in each stack offers several advantages:

1. Easy access: Students can easily locate books on specific topics without having to search through a disorganized collection.

2. Efficient borrowing: The organized stacks allow for a streamlined borrowing process, enabling students to quickly find the required books and borrow them for their studies.

3. Fair distribution: By ensuring an equal number of copies in each stack, all students have an equal chance to access the required books, promoting fairness and equal opportunities.

4. Resource optimization: Stacking the books in an organized manner helps optimize the utilization of available resources. It eliminates the need for duplicate copies of the same book and ensures each book is utilized to its fullest potential.

5. Promoting self-study: With easy access to a variety of books, students are encouraged to engage in self-study and explore different subjects beyond their curriculum, fostering a love for learning.

In conclusion, stacking books in the book-bank based on topics and with an equal number of copies in each stack is a systematic approach that facilitates convenient access and efficient utilization of the available resources. It promotes equal opportunities for all students and encourages self-study.