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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 $B$).Possible cases f

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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 $B$).Possible cases for selecting $6$ questions are:Case $1$: $2$ questions from part $A$ and $4$ questions from part $B$.Number of ways $= {^5C_2} 	imes {^5C_4} = 10 	imes 5 = 50$.Case $2$: $3$ questions from part $A$ and $3$ questions from part $B$.Number of ways $= {^5C_3} 	imes {^5C_3} = 10 	imes 10 = 100$.Case $3$: $4$ questions from part $A$ and $2$ questions from part $B$.Number of ways $= {^5C_4} 	imes {^5C_2} = 5 	imes 10 = 50$.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,selecting at least two questions from each part,is:

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