JEE MAIN - Mathematics (2020 - 5th September Evening Slot - No. 16)
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 :
2250
2255
3000
1500
Explanation
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$$ \therefore $$ Total number of selection of 5 questions
= $$\left( {{}^5{C_1}.{}^5{C_2}.{}^5{C_2}} \right)$$$$ \times $$3 + $$\left( {{}^5{C_1}.{}^5{C_1}.{}^5{C_3}} \right)$$ $$ \times $$ 3
= 5 $$ \times $$10$$ \times $$10$$ \times $$3 + 5$$ \times $$5$$ \times $$10$$ \times $$3
= 2250
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