Question:
There are 3 sections in a question paper and each section contains 5 questions. A candidate has to answer a total of 5 questions, choosing at least one
question from each section. Then the number of ways, in which the candidate can choose the questions, is:
Correct Option: , 4
Solution:
$=\left({ }^{5} \mathrm{C}_{1}{ }^{5} \mathrm{C}_{2}{ }^{5} \mathrm{C}_{2}\right) \cdot 3+\left({ }^{5} \mathrm{C}_{1}{ }^{5} \mathrm{C}_{1}{ }^{5} \mathrm{C}_{3}\right) \cdot 3$
$=5 \cdot 10 \cdot 10 \cdot 3+5 \cdot 5 \cdot 10 \cdot 3$
$=2250$
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