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(C) The candidate needs to select a total of $6$ questions such that at least $2$ questions are selected from each part ($A$ and $B$).Since each part

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$200$

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(C) The candidate needs to select a total of $6$ questions such that at least $2$ questions are selected from each part ($A$ and $B$).Since each part has $5$ questions,the possible combinations $(A, B)$ are:$1$. $2$ questions from $A$ and $4$ questions from $B$: $^5C_2 	imes ^5C_4 = 10 	imes 5 = 50$ ways.$2$. $3$ questions from $A$ and $3$ questions from $B$: $^5C_3 	imes ^5C_3 = 10 	imes 10 = 100$ ways.$3$. $4$ questions from $A$ and $2$ questions from $B$: $^5C_4 	imes ^5C_2 = 5 	imes 10 = 50$ ways.Total number of ways = $50 + 100 + 50 = 200$.

$A$ question paper is divided into two parts $A$ and $B$,and each part contains $5$ questions. The number of ways in which a candidate can answer $6$ questions by selecting at least two questions from each part is:

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