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Fundamental Principle of Counting

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Question

There are 5 questions in test. If the first 3 questions have 4 choices each and the next 2 have 5 choices each, the number of answers possible is .

A

1500

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B

1600

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C

1700

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D

1800

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Solution

The correct option is B 1600
This is a simple application of the counting principle.
The number of possible answers = $4 \times 4 \times 4 \times 5 \times 5 = 1600$

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