in how many ways can 21 books an English and 19 books on Hindi...be placed in a row on a shelf so that 2 books on Hindi may not be together?
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there are 20 places between 21 english book and 2 places (first and last)
totally 22 places for 19 hindi books
so we select 19places from 22 places for hindi books
so number of ways =22C19
=22C3=22(21)(20)/1(2)(3)
=11(7)(20)=1540
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