Functions Question 350

Question: If $ A={8,9,10} $ and $ B={1,2,3,4,5}, $ Then the number of elements in $ A\times A\times B $ are

Options:

A) 15

B) 30

C) 45

D) 75

Show Answer

Answer:

Correct Answer: C

Solution:

[c] $ n(A\times B\times C\times …)=n(A)\times n(B)\times n(C)\times …. $
$ \therefore n(A\times A\times B)=n(A)\times n(A)\times n(B)=3\times 3\times 5=45 $ $ [\because ,n(A)=3,n(B)=5] $