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  • How many different ways are there for all 6 pillows to be placed on the wrong shelves if there are 6 shelves?  Option: 1 259

How many different ways are there for all 6 pillows to be placed on the wrong shelves if there are 6 shelves?

 

Option: 1

259


Option: 2

263


Option: 3

265


Option: 4

270


Answers (1)

best_answer

6 pillows are placed on 6 shelves.
The required number of ways is given by,

\begin{aligned} & { }^6 P_6-{ }^6 P_5+{ }^6 P_4-{ }^6 P_3+{ }^6 P_2-{ }^6 P_1+{ }^6 P_0=720-720+360-120+24-6+1 \\ & { }^6 P_6-{ }^6 P_5+{ }^6 P_4-{ }^6 P_3+{ }^6 P_2-{ }^6 P_1+{ }^6 P_0=265 \end{aligned}

Therefore, the required number of ways is 265 ways.

Posted by

Sanket Gandhi

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