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In how many ways can 21 books on English...

In how many ways can 21 books on English and 19 books on Hindi be placed in a row on a shelf so that two books on Hindi may not be together? (A) `770` (B) `385` (C) `1540` (D) `399`

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Verified by Experts

No. of Ways = `22_(C_19)`
=`22!/(19!*3!)`
=`22**21**20**19!/(19!*3*2*1)`
=`22**70`
=`1540`
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