There are 6 multiple choice questions in an examination. How many sequences of answers are possible, if the first 2 questions have 3 choices each, the next 2 have 4 choices each and the last two have 5 choices each?
A
3450
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B
3300
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C
3600
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D
3400
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E
None of these
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Solution
The correct option is C 3600 First question can be answered in 3 ways. Second question can be answered in 3 ways. 3 questions can be answered in 4 ways. 4 questions can be answered in 4 ways. 5 questions can be answered in 5 ways. 6 questions can be answered in 5 ways. Hence, by fundamental principle of counting, the required number of sequences of answers =3×3×4×4×5×5=3600.