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Question -

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 2 each?



Answer -

Given: Multiple choicequestion, only one answer is correct of the given options.

For the first threequestions only one answer is correct out of four. So it can be answered in 4ways.

Total number of waysto answer the first 3 questions = 4C1 × 4C1 × 4C1 =4 × 4 × 4 = 64

Each of the next 3questions can be answered in 2 ways.

Total number of waysto answer the next 3 questions = 2C1 × 2C1 × 2C1 =2 × 2 × 2 = 8

Hence, total possibleoutcomes possible are 64 × 8= 512

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