Question

If A={a}, B={a,b}, C={a,b,c}, then A∩B∩C=

• A. {a}
• B. {b}
• C. {c}
• D. None

Answer 1

The Correct Option is A

To solve the problem, we need to find the intersection of the sets \( A \), \( B \), and \( C \). The intersection of sets refers to the elements that are common to all the sets.

1. Given Sets:
- Set \( A = \{a\} \)
- Set \( B = \{a, b\} \)
- Set \( C = \{a, b, c\} \)

2. Find the Intersection \( A \cap B \cap C \):
The intersection of the sets \( A \), \( B \), and \( C \) consists of the elements that are present in all three sets.
- \( A \) contains only \( a \).
- \( B \) contains \( a \) and \( b \).
- \( C \) contains \( a \), \( b \), and \( c \).
The common element in all three sets is \( a \). Therefore, \( A \cap B \cap C = \{a\} \).

Final Answer:
The correct answer is option (A): \{a}\.\(\{a\}.\)