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  • In how many ways can eight beads, each of a different colour, be kept among five boxes such that no box remains empty?Option: 1 123000<

In how many ways can eight beads, each of a different colour, be kept among five boxes such that no box remains empty?

Option: 1

123000


Option: 2

124000


Option: 3

 125000


Option: 4

126000


Answers (1)

best_answer

Given that,

\mathrm{=5^{8}-\left(\begin{array}{l} 5 \\ 1 \end{array}\right)(5-1)^{8}+\left(\begin{array}{l} 5 \\ 2 \end{array}\right)(5-2)^{8}-\left(\begin{array}{l} 5 \\ 3 \end{array}\right)(5-3)^{8}+\left(\begin{array}{l} 5 \\ 4 \end{array}\right)(5-4)^{8}}

\mathrm{=390625-(5 \times 65536)+(10 \times 6561)-(10 \times 256)+5}

\mathrm{=390625-327680+65610-2560+5}

\mathrm{ =126000}

Posted by

Deependra Verma

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