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  • In how many ways can seven erasers, each of a different colour, be kept among four distinct pencil boxes such that no pencil box remains empty?Option: 1

In how many ways can seven erasers, each of a different colour, be kept among four distinct pencil boxes such that no pencil box remains empty?

Option: 1

8404


Option: 2

 8904


Option: 3

 8504


Option: 4

8604


Answers (1)

best_answer

Given that,

\mathrm{=4^{7}-\left(\begin{array}{l}4 \\ 1\end{array}\right)(4-1)^{7}+\left(\begin{array}{l}4 \\ 2\end{array}\right)(4-2)^{7}-\left(\begin{array}{l}4 \\ 3\end{array}\right)(4-3)^{7}}

\mathrm{=16384-(4 \times 2187)+(6 \times 128)-4}

\mathrm{=16384-8748+768}

\mathrm{=8404}

Posted by

Ajit Kumar Dubey

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