Find the number of ways so that you can fill a 3x3 grid ( wih four corners defined as a,b,c,d) IF YOU HAVE 3 WHITE MARBLES AND 6 BLACK MARBLES.

• ans is 9!/(6!*3!)
• 10 years agoHelpfull: Yes(24) No(5)
• 9c3 because grids are identical so either we start black or white 9c3 is ok..
  9c6 is also true but was not given in the option.
• 10 years agoHelpfull: Yes(5) No(1)
• 2*6!*3!
  first three corner fill with black marbel and rest will be fill by 6!
  first we choose black and than white
  its two time repeatedely
  so ans is 2*3!6!
  
• 10 years agoHelpfull: Yes(2) No(0)
• we have to fill total 9 grids(3x3)
  so either select 6 grid among 9 and fill with black and then 3 with white or select 3 among 9 and fill with white and then with 6 black marbles
  ==> 9C6*3C3 +9C3*6C6
  ==> 9C6 + 9C3 ans can be molded into 2*9C6 or 2*9C3
  
• 10 years agoHelpfull: Yes(2) No(1)
• 3*3 grid=9
  we have 3 identical white marbles which can b filled in 9 blocks in 9C3 ways. n the remaining 6 black marbles filled in remaining 6 blocks.
  even if v start filling 3*3 grid with 6 black marble then we get 9C6 ways.
  Ans :- 9C3
• 10 years agoHelpfull: Yes(1) No(0)
• 2*6!*3!
  first three corner fill with black marbel and rest will be fill by 6!
  first we choose black and than white
  its two time repeatedely
  so ans is 2*3!6!
  and total no of case =9!
  p(a)=2*3!*6!/9!
  =1/6
• 10 years agoHelpfull: Yes(0) No(2)
• 9C3 + 9C6 = 2*(9C3)= 168
  if we put white balls first then we have 9 places for 3 balls so total no of ways would be 9C3 and the remaining 6 black balls can be put by 1 way only. similarly if we put black first it will have 9C6 ways
• 10 years agoHelpfull: Yes(0) No(1)
• 9!
  in this question there is not a condition simply filled the grids
  
• 10 years agoHelpfull: Yes(0) No(0)
• 3*3 grid means 9 places
  now we choose first white marbels then the no of ways would be (9c3)*(6c6) =84
  or
  if we choose first black marbels then the no ways would be same (9c6)*3c3=84
  hence ans is 84.
• 10 years agoHelpfull: Yes(0) No(0)
• TOTAL GRID=9
  NO OF ROWS=3
  SO ANS=9C3
• 10 years agoHelpfull: Yes(0) No(1)
• First calculate area of the grid = 9. Now we have to arrange 3 white marbles in 9 places = 9c3 = 84 ways [ans]. You dont have to arrange black marbles again.
  If you want to arrange black marbles first, you still get same answer 9c6 = 84.
• 9 years agoHelpfull: Yes(0) No(0)