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Question

$\begin{array}{lll} 	ext { A } & 	ext { B } & 	ext { C } \ \hline 5 & 	ext { 5 } & 	ext { 5 } \ 	ext { 1 } & 2 & 2 \

Vedclass · Accepted Answer

$2250$

Vedclass · Answer

$\begin{array}{lll} 	ext { A } & 	ext { B } & 	ext { C } \ \hline 5 & 	ext { 5 } & 	ext { 5 } \ 	ext { 1 } & 2 & 2 \ 	ext { 2 } & 1 & 2 \ 2 & 2 & 1 \ 1 & 1 & 3 \ 1 & 3 & 1 \ 3 & 1 & 1 \end{array}$

Total number of selection

$=\left({ }^{5} C _{1}{ }^{5} C _{2}{ }^{5} C _{2}ight) \cdot 3+\left({ }^{5} C _{1}{ }^{5} C _{1}{ }^{5} C _{3}ight) \cdot 3$

$=5 \cdot 10 \cdot 10 \cdot 3+5 \cdot 5 \cdot 10 \cdot 3$

$=2250$

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

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