# 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?

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

So, for the first three questions only one answer is correct out of four, similarly, for the remaining three question, only one answer is correct out of two.

Number of outcomes possible is 4C1 × 4C1 × 4C1 for the first three and 2C1 × 2C1 × 2C1 for the remaining three.

Hence, total possible outcomes possible are 4C1 × 4C1 × 4C1 × 2C1 × 2C1 × 2C1 = 512

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