JEE Mains · Maths · STD 11 - 6. permutation and combination
The number of ways, in which the letters \(\mathrm{A}, \mathrm{B}, \mathrm{C}\), D, E can be placed in the 8 boxes of the figure below so that no row remains empty and at most one letter can be placed in a box, is :
- A \(5880\)
- B \(960\)
- C \(840\)
- D \(5760\)
Answer & Solution
Correct Answer
(D) \(5760\)
Step-by-step Solution
Detailed explanation
\begin{aligned} & =\text { Total }-\left[\left(\mathrm{All} \mathrm{in}_1 \text { and } \mathrm{R}_3\right)+\left(\text { All in } \mathrm{R}_2 \text { and } \mathrm{R}_3\right)+\right. \\ & \left.\left(\text { All in } \mathrm{R}_1 \text { and } \mathrm{R}_2\right)\right] \\ &…
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