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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?


As the first 3 ques has 4 choices, and next 3 have 2 choices, the total number of possibilities is just  4*4*4*2*2*2=4^3*2^3=64*8=512
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