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  • Five boys and three girls are sitting in a row of 8 seats. Number of ways in which they can be seated so that not all the girls sit side by side isOption: 1</str

Five boys and three girls are sitting in a row of 8 seats. Number of ways in which they can be seated so that not all the girls sit side by side is

Option: 1

36000


Option: 2

9080


Option: 3

3960


Option: 4

11600


Answers (1)

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Total no. of arrangement if all the girls do not seat side by side

\begin{aligned} & =[\text { all arrangement }- \text { girls seat side by side }] \\ \\& =8 !-(6 ! \times 3 !) \\ \\& =6 !(56-6)=6 ! \times 50 \\ \\& =720 \times 50=36000 \end{aligned}

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