Question

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

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

Answer 1

Answer: (B)

1600

So there are three questions which have four choices so each of these question can be answered in $4$ ways and since each question is independent of each other so number of ways of answering first three is $4\times 4\times 4=4^3=64$
Similarly for the last two questions the number of ways $=5\times 5=25$
Hence total number of ways of answering these five question is $=64\times 25=1600$