P&C rules : Maths rules !!!

Find the no. of ways of arranging 5 identical green, 4 identical blue and 3 identical yellow balls in a row such that none of the identical balls form a block (or in other words...comes serially :-).

21 Answers

1
Bicchuram Aveek ·

Why 9 ???
give me the reason and i'll tell u the right answer.

1
Great Dreams ·

but how to apply here ?????????????

39
Dr.House ·

this thread should help

have a look:

http://targetiit.com/iit-jee-forum/posts/derrangements-2904.html

1
Bicchuram Aveek ·

;-)

1
Great Dreams ·

its something to do with PIE :
inclusion and exclusion principle

49
Subhomoy Bakshi ·

ohh se=ry...i tht all the blocks together form a block....:)

1
Bicchuram Aveek ·

Ans is :

(12!/5!4!3!) - [(10!/4!5!) + (9!/3!4!) + ((8!/3!4!)] + [7!/5! + 5!/3! + 6!/4!] - 3!

;-)...anyone getting the idea ???

13
Двҥїяuρ now in medical c ·

is the ans 420 or somewhere near it..?

1
Bicchuram Aveek ·

I'm afraid It is. :'-(

1
madhumitha harishankar ·

hmm I see the flaw in what I did

1
madhumitha harishankar ·

its wrong ? :(

1
Bicchuram Aveek ·

Nishant Sir and Prophet Sir are barred from solving this one !!!! ;-)

1
madhumitha harishankar ·

(12!/5!4!3!) - 9...?

49
Subhomoy Bakshi ·

getting closer??

so it was not right???huh!!!:'(

1
utd4ever ·

I think subho is right that should be the answer ..

1
Great Dreams ·

310 ?

1
Bicchuram Aveek ·

subho getting closer.

49
Subhomoy Bakshi ·

even i am not 100% but most probably 95% this must be the answer!!

1
sanchit ·

oops i have done major mistakes

49
Subhomoy Bakshi ·

(12!/5!4!3!)-(3!)...........is it the ans??

1
sanchit ·

just a simple try:m getting 5!*3!*2!*2 ...
btw any hint............

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