The number of binary operations on a set of 2 elements that are commutative is:
The number of binary operations on a set of 2 elements that are commutative is:
- A. 8
- B. 16
- C. 4
- D. 2
Answer: A) 8
Explanation: For a set with 2 elements {a, b}, a binary operation is a 2×2 table. Commutative means the table is symmetric. Number of pairs (i, j) with i ≤ j is 3 ( (a,a), (a,b), (b,b) ). For each, 2 choices of output. Total = 2³ = 8.
0 Answers
Log in to post your own answer or join the discussion.
No comments yet — start the discussion.