A teacher of Class I asks a student to count the total number of objects in a collection of pens, erasers and sharpners. The student put all the objects in a line and starts counting. He says that there are 2 pens, 5 erasers and 3 sharpners instead of 10 objects. In which principle/ principles of counting do you think that the student is facing difficulty?

Options

A. Abstraction and order irrelevance principles
B. Stable order and abstraction principles
C. One-to-one correspondence principle
D. Abstraction principle

Answer

To solve the question, we need to analyze the situation where the student is counting the objects incorrectly. The student has counted 2 pens, 5 erasers, and 3 sharpeners, which totals to 10 objects. However, the student seems to be confused about the total count.

### Step-by-step Solution:

1. **Identify the Objects**: The collection consists of three types of objects: pens, erasers, and sharpeners.
- Pens: 2
- Erasers: 5
- Sharpeners: 3

2. **Count the Individual Groups**: The student counted:
- 2 pens
- 5 erasers
- 3 sharpeners

3. **Calculate the Total**: To find the total number of objects, we need to add the counts of each type of object:
\[ \text{Total} = \text{Number of Pens} + \text{Number of Erasers} + \text{Number of Sharpeners} \]
\[ \text{Total} = 2 + 5 + 3 = 10 \]

4. **Identify the Counting Principles**: The student is facing difficulty in the following principles of counting:
- **Principle of One-to-One Correspondence**: Each object should be counted once and only once.
- **Principle of Total Count**: The student needs to understand that the total count is the sum of all individual counts, regardless of the type of object.

5. **Conclusion**: The student has correctly counted the individual items but failed to recognize that these counts must be combined to find the total number of objects.