A student has to answer 10 out of 13 question | vedclass

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(C) The student must choose $10$ questions out of $13$. The first $6$ questions form one group,and the remaining $7$ questions form another group. The

Vedclass · Accepted Answer

$161$

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(C) The student must choose $10$ questions out of $13$. The first $6$ questions form one group,and the remaining $7$ questions form another group. The student must choose at least $5$ questions from the first $6$.Case $I$: Choosing $5$ questions from the first $6$ and $5$ questions from the remaining $7$.Number of ways $= {}^{6}C_{5} 	imes {}^{7}C_{5} = 6 	imes 21 = 126$.Case $II$: Choosing $6$ questions from the first $6$ and $4$ questions from the remaining $7$.Number of ways $= {}^{6}C_{6} 	imes {}^{7}C_{4} = 1 	imes 35 = 35$.Total number of ways $= 126 + 35 = 161$.

$A$ student has to answer $10$ out of $13$ questions in an examination,choosing at least $5$ questions from the first $6$ questions. The number of choices available to the student is:

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