Question

If \( A = \{ x : x \text{ is a letter of the word MISSISSIPPI} \} \), then \( n(A) = \)

• A. 4
• B. 8
• C. 9
• D. 11

Hint:

When finding the number of elements in a set, always consider only the distinct elements in the set. Repeated elements are not counted.

Answer 1

The Correct Option is A

Step 1: Understanding the set \( A \).
The set \( A \) contains the distinct letters from the word "MISSISSIPPI". The distinct letters in this word are M, I, S, and P.

Step 2: Count the distinct letters.
From the word "MISSISSIPPI", we extract the following distinct letters: \[ A = \{ M, I, S, P \} \] So, the number of distinct elements in \( A \), denoted \( n(A) \), is 4.

Step 3: Conclusion.
Therefore, \( n(A) = 4 \).

Final Answer: 4.