Flag Magical Mathematics[Interesting Approach]> in how many ways can letters of word ‘ARR...
question mark

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

geetesh kumar , 6 Years ago
Grade 11
anser 1 Answers
Arun

Last Activity: 6 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)

Provide a better Answer & Earn Cool Goodies

Enter text here...
star
LIVE ONLINE CLASSES

Prepraring for the competition made easy just by live online class.

tv

Full Live Access

material

Study Material

removal

Live Doubts Solving

assignment

Daily Class Assignments


Ask a Doubt

Get your questions answered by the expert for free

Enter text here...