Functions Question 363
Question: Suppose that the number of elements in set A is p, the number of elements in set B is q and the number of elements in $ A\times B $ is 7. Then $ p^{2}+q^{2}= $
Options:
A) 42
B) 49
C) 50
D) 51
Show Answer
Answer:
Correct Answer: C
Solution:
[c] $ n(A)=p,n(B)=q;n(A\times B)=pq=7 $ so, possible values of p, q are 7, 1 $ \Rightarrow p^{2}+q^{2}={{(7)}^{2}}+{{(1)}^{2}}=50. $
BETA
