Question

There are $6$ multiple-choice questions in the test. If the first three questions have $4$ choices each and the next three have $5$ choices each, the number of answer possible is

• A. $1500$
• B. $8000$
• C. $1700$
• D. $1800$

Answer 1

Answer: (B)

$8000$

Given there are $6$ questions

first $3$ have $4$ choices

next $3$ have $5$ choices

for $Q_1,Q_2,Q_2$ there are $4^3$ ways to answer the question

for $Q_4,Q_5,Q_6$ there are $5^3$ ways to answer the question

$\therefore$ Total no of ways to answer $4^3\times 5^3=8000$ ways.