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 $