Functions Question 364
Question: Let A={$x\in W, $ the set of whole numbers and $ x<3$}, B={ $x\in N, $ the set of natural number and $ 2\le x<4$} and $ C={3,,4}, $ then how many elements will $ (A\cup B)\times C $ contain?
Options:
A) 6
B) 8
C) 10
D) 12
Show Answer
Answer:
Correct Answer: B
Solution:
[b] We have  $ A={0,1,2} $   $ B={2,3} $   $ C={3,4} $   $ A\cup B={0,1,2,3} $   $ (A\cup B)\times C={(0,3),(0,4),(1,3);(1,4);(2,3),(2,4),(3,3);(3,4)} $
$ \therefore ,n[ (A\cup B)\times C ]=8 $
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