Question

If \( A = \{1, 2, 3, 4, 5\} \) and \( B = \{1, 3, 5, 7\} \), then \( n(A \cap B) = \dots \):

• A. \( 3 \)
• B. \( 4 \)
• C. \( 2 \)
• D. \( 1 \)

Hint:

The intersection of two sets gives the elements that are common to both sets. To find the number of elements, simply count the elements in the intersection.

Answer 1

The Correct Option is A

Step 1: Find the intersection of sets \( A \) and \( B \). The intersection of two sets contains the elements that are present in both sets. We have: \[ A = \{1, 2, 3, 4, 5\} \] \[ B = \{1, 3, 5, 7\} \] The common elements are \( \{1, 3, 5\} \). Step 2: Find the number of elements in the intersection. The number of elements in \( A \cap B \) is 3. Thus, \( n(A \cap B) = 3 \).