25 people for programme A, 50 people for programme B, 10 people for both. So, number of employee employed only A is

Options

A. 15
B. 20
C. 35
D. 40

Explanation

To solve the problem step by step, we need to find the number of employees who are employed only in programme A. We are given the following information:

- Total number of people for programme A (n(A)) = 25
- Total number of people for programme B (n(B)) = 50
- Number of people for both programmes (n(A ∩ B)) = 10

### Step 1: Understand the problem
We need to find the number of employees who are employed only in programme A. This means we need to exclude those who are also counted in programme B.

### Step 2: Use the formula
The number of employees employed only in programme A can be calculated using the formula:
\[ n(A \text{ only}) = n(A) - n(A \cap B) \]

### Step 3: Substitute the values
Now, substituting the values we have:
\[ n(A \text{ only}) = 25 - 10 \]

### Step 4: Calculate the result
Now, perform the subtraction:
\[ n(A \text{ only}) = 15 \]

### Conclusion
Thus, the number of employees employed only in programme A is **15**.

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