Functions Question 358
Question: If $ A={1,2},B={1,3}, $ then $ (A\times B)\cup (B\times A) $ is equal to
Options:
A) $ {(1,3),(2,3),(3,1),(3,2),(1,1),(2,1),(1,2)} $
B) $ {(1,3),(3,1)(3,2),(2,3)} $
C) $ {(1,3),(2,3),(3,2),(1,1)} $
D) None of these
Show Answer
Answer:
Correct Answer: A
Solution:
[a] $ A\times B={1,2}\times {1,3}={(1,1),(1,3),(2,1),(2,3)} $ $ B\times A={1,3}\times {1,2}={(1,1),(1,2),(3,1),(3,2)} $
$ \therefore (A\times B)\cup (B\times A) $ $ ={(1,1),(1,3),(2,1),(2,3),(1,2),(3,1),(3,2)} $
BETA
