There are six multiple - choice questions in an examination. Find the total number of ways of answering these questions, if the first three questions have 5 choices each and the next three have 4 choices each.

Options

A. `(5xx5xx5xx4xx4xx4)`
B. `(5xx4xx3xx4xx3xx2)`
C. `(5xx5xx5xx5xx5xx5)`
D. `(4xx4xx4xx4xx4xx4)`

Answer

A

Explanation

Each of the first three questions has 5 choices .
So, each one of them can be answered in 5 ways.
Each of the next three questions has 4 choices.
So, each one of them can be answered in 4 ways.
Hence, by the fundamental principle of multiplication, the total number of ways of answering the six questions
`=(5xx5xx5xx4xx4xx4)=8000.`