There are 6 multiple choice questions in an examination. Find the total number of ways of answering these questions if the first three questions have 5 choices each and the next three have 4 choices each?

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8000

7000

6000

4000

answer is A.

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Detailed Solution

Total multiple-choice question = 6
First 3 questions has = 5 choices
Next three questions has = 4 choices
For, first three questions number of ways,

= (1 \times 5) \times (1 \times 5) \times (1 \times 5)

For next three questions

= (1 \times 4) \times (1 \times 4) \times (1 \times 4)

So, total ways of answering the questions,

= (1 \times 5) \times (1 \times 5) \times (1 \times 5) \times (1 \times 4) \times (1 \times 4) \times (1 \times 4)

= 5 \times 5 \times 5 \times 4 \times 4 \times 4

= 8000

Option 1 is Correct.

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