isi-entrance 2010 Q1

isi-entrance · India · solved Permutations & Arrangements Distribution of Objects into Bins/Groups

There are 8 balls numbered $1,2 , \ldots , 8$ and 8 boxes numbered $1,2 , \ldots , 8$. The number of ways one can put these balls in the boxes so that each box gets one ball and exactly 4 balls go in their corresponding numbered boxes is
(a) $3 \times {}^{8}\mathrm{C}_{4}$
(b) $6 \times {}^{8}\mathrm{C}_{4}$
(c) $9 \times {}^{8}\mathrm{C}_{4}$
(d) $12 \times {}^{8}C_{4}$

There are 8 balls numbered $1,2 , \ldots , 8$ and 8 boxes numbered $1,2 , \ldots , 8$. The number of ways one can put these balls in the boxes so that each box gets one ball and exactly 4 balls go in their corresponding numbered boxes is\\
(a) $3 \times {}^{8}\mathrm{C}_{4}$\\
(b) $6 \times {}^{8}\mathrm{C}_{4}$\\
(c) $9 \times {}^{8}\mathrm{C}_{4}$\\
(d) $12 \times {}^{8}C_{4}$

Paper Questions

Q1 Q2 Q3 Q4 Q5 Q6 Q7 Q8 Q9 Q10 Q11 Q12 Q13 Q14 Q15 Q16 Q17 Q18 Q19 Q20 Q21