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Ten IIT students and 2 DCE students sit in a row. The number of ways in which exactly 3 IIT students sit in between 2 DCE students

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Ten IIT students and 2 DCE students sit in a row. The number of ways in which exactly 3 IIT students sit in between 2 DCE students
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Total possible values=`10C_3*2!*3!*8!`
`8*2*10!`
`16*10!`.
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