Question

There are $5$ multiple choice questions (only one correct option) in test. If the first three questions have $4$ choices each and the next two have $5$ choices each, then number of possible ways in which a student can answers all the question is

• A. $1500$
• B. $1600$
• C. $1700$
• D. $1800$

Answer 1

The correct option is B $1600$

The number of possible answers for first three questions $=4\cdot 4\cdot 4$
and for next two questions $=5\cdot 5$

$\therefore$ using multiplication principle, total number of possibe answer's $=4^3\cdot 5^2=1600$