There are 6 multiple choice questions in an examination. How many sequences of answers are possible, if the first three questions have 4 choices each and the next three have 5 each? Choose the correct choice from the following options.
A) 4576  B) 7200  C) 6300  D) 4500  E) 8000
Here we have to perform 6 jobs of answering 6 multiple choice questions. Each of the first three questions can be answered in 4 ways and each one of the next three can be answered in 5 different ways. So, the total number of different sequences = 4 × 4 × 4 × 5 × 5 × 5 = 8000   Ans: 8000
<result>E</result>
There are 6 multiple choice questions in an examination. How many sequences of answers are possible, if the first three questions have 4 choices each and the next three have 5 each?