how many ways can the letter of word ARRANGE be arranged such that A's dont occur together
 
 

Asked by keerthanapradeep550 | 25th Mar, 2017, 07:38: PM

Expert Answer:

begin mathsize 16px style There space are space two space straight A apostrophe straight s space and space two space straight R apostrophe straight s comma space and space hence space the space number space of space arrangements equals fraction numerator 7 factorial over denominator 2 factorial 2 factorial end fraction equals 1260
The space number space of space arrangements space in space which space the space two space straight A apostrophe straight s space occur space together equals fraction numerator 6 factorial over denominator 2 factorial end fraction equals 360
Hence comma space the space number space of space arrangments space in space which space the space two space straight A apostrophe straight s space do space not space occur space together
equals 1260 minus 360
equals 900
end style

Answered by Rebecca Fernandes | 25th Mar, 2017, 08:35: PM