Sets Relations And Functions Question 50

Question: Let A = {1, 2, 3, 4, 5}; B = {2, 3, 6, 7}. Then the number of elements in $ ( A~\times B )\cap ( B\times A ) $ is

Options:

A) 18

B) 6

C) 4

D) 0

Show Answer

Answer:

Correct Answer: C

Solution:

  • Here A and B sets having 2 elements in common, so $ A\times B $ and $ B\times A $ have $ 2^{2} $ i.e., 4 elements in common. Hence, $ n,[(A\times B)\cap (B\times A)]=4 $ .