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Grade 11Magical Mathematics[Interesting Approach]

in how many ways can letters of word ‘ARRANGEMENT’be arranged so that two ‘A’ and two ‘R’ does not comes together?

Profile image of geetesh kumar
8 Years agoGrade 11
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1 Answer

Profile image of Arun
8 Years ago
Dear Geetesh
Total - {2Rs together + 2As together - RRAA all of them together}
.. beacuse both the cases where 2Rs/2As are together also include RRAA. We need to subtract those... Sort of Venn diagram problem
= 11!/(2!*2!*2!*2!) - {(2*10!/2!*2!2!) - 9!/2!*2! }
 Regards
ARUN (askIITians forum expert)