Let A and B be two sets such that `n (A) = 52, n (B) = 60 and n(A nn B) = 16. ` Draw a Venn diagram and find
` n(B-A) `

Answer

To solve the problem step by step, we will follow these instructions:

### Step 1: Understand the problem
We are given two sets A and B with the following information:
- Number of elements in set A, \( n(A) = 52 \)
- Number of elements in set B, \( n(B) = 60 \)
- Number of elements in the intersection of A and B, \( n(A \cap B) = 16 \)

We need to find the number of elements in the set difference \( n(B - A) \).

### Step 2: Draw the Venn Diagram
1. Draw two overlapping circles. Label one circle as Set A and the other as Set B.
2. In the overlapping area (the intersection), write the number of elements in \( n(A \cap B) = 16 \).

### Step 3: Calculate the number of elements only in Set A
To find the number of elements only in Set A, we subtract the intersection from the total in Set A:
\[ n(A \text{ only}) = n(A) - n(A \cap B) = 52 - 16 = 36 \]

### Step 4: Calculate the number of elements only in Set B
To find the number of elements only in Set B, we subtract the intersection from the total in Set B:
\[ n(B \text{ only}) = n(B) - n(A \cap B) = 60 - 16 = 44 \]

### Step 5: Find \( n(B - A) \)
The set difference \( B - A \) represents the elements that are in Set B but not in Set A. Since we have already calculated the number of elements only in Set B:
\[ n(B - A) = n(B \text{ only}) = 44 \]

### Final Answer
Thus, the number of elements in \( n(B - A) \) is \( 44 \).

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