In a school, there are four sections of 40 students each in XI standard. In how many ways can a set of 4 student representatives be chosen, one from each section?

Explanation

To solve the problem of choosing a set of 4 student representatives from 4 sections, we can follow these steps:

### Step 1: Understand the problem
We need to choose one student representative from each of the four sections, and each section has 40 students.

### Step 2: Calculate the choices for each section
For Section 1, we can choose 1 student out of 40. This gives us 40 possible choices.

For Section 2, we can also choose 1 student out of 40, giving us another 40 possible choices.

For Section 3, similarly, we have 40 choices.

For Section 4, we again have 40 choices.

### Step 3: Multiply the choices
Since the choice from each section is independent of the others, we multiply the number of choices together:

\[ \text{Total ways} = (\text{Choices from Section 1}) \times (\text{Choices from Section 2}) \times (\text{Choices from Section 3}) \times (\text{Choices from Section 4}) \]

Substituting the values we have:

\[ \text{Total ways} = 40 \times 40 \times 40 \times 40 \]

### Step 4: Calculate the total number of ways
Calculating \(40^4\):

\[ 40^4 = 40 \times 40 \times 40 \times 40 = 2560000 \]

### Final Answer
Thus, the total number of ways to choose a set of 4 student representatives, one from each section, is **2,560,000**.

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