find the number of ways you can fill a 3x3 grid(with four courners defined as a,b,c,d) if u have 3 white marbles and 6 black marbles

• 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.
• 12 years agoHelpfull: Yes(171) No(17)
• My Elitmus score is ps 90 , Quant 71 , verbal 61 what are my chances to place in any recogized MNC??? Plz do reply , Thanx in advance
• 9 years agoHelpfull: Yes(83) No(22)
• There are total 9 marbles.
  No. of ways = 9!/(3! * 6!) = 84
• 10 years agoHelpfull: Yes(51) No(6)
• number of grids=9
  number of ways filling 3 white marbles in 9 places= 9C3
  number of filling remaining 6 places in grid with 6 marbles=6C6
  total ways of simultaneous filling= 9C3*6C6 implies 9C3=84...
• 9 years agoHelpfull: Yes(27) No(6)
• first we can either arrange black marbles so white marbles
  suppose we first arrange black marbles first
  so no.of ways in which they can be aarnged=9p3/3!
  =9c3=84 now we don't need to arrnge white marbles
  so.no.of ways=84
• 12 years agoHelpfull: Yes(25) No(10)
• first calculate grid
  grid= 3*3=9
  now we have white 3 n black 6
  so total no. of ways we arrange 9 marbles = 9!
  3 white=3!
  6 white=6!
  so required = 9!/ 3!*6!= 84
• 9 years agoHelpfull: Yes(25) No(8)
• First calculate area of the grid = 9. Now we have to arrange 3 white marbles in 9 places = 9C3 = 84 ways [ans]. You don't have to arrange black marbles again.
  If you want to arrange black marbles first, you still get same answer 9C6 = 84.
• 11 years agoHelpfull: Yes(14) No(16)
• 3C3*6c3+3C2*6C4+3C1*6C5+6C6= 84 WAYS........
• 10 years agoHelpfull: Yes(11) No(12)
• only u hv to focus on arranging either white or black marbles so if u arrange 3 white from 9
  so 9c3 ways i.e 84 or
  if u want toarrange black marble first then also u will hv to do the same i.e 9c6 is also 84 ways
  so the ans is 84 WAYS
  
• 9 years agoHelpfull: Yes(8) No(5)
• since the marbles are identical the required answer is 9C3 or 9C6 i.e we can start filing the
  
  grid either with white or black marbles.
  
  We have 3 identical white marbles which can be placed in 9 blocks in 9C3 ways and the rest
  
  6 blocks can be filled with 6 white marbles so the required ways of filling the grid is 9C3.
  
  Even if we start filling the 3x3 grid with black marbles the required permutation is 9C6.
• 9 years agoHelpfull: Yes(4) No(5)
• for arrangements we take 3p3+6p6=726
• 12 years agoHelpfull: Yes(3) No(36)
• plz xplain rgt ans
• 9 years agoHelpfull: Yes(3) No(0)
• AREA OF THE GRID = 3*3 = 9
  
  HENCE FOR FILLING 3 WHITE MARBLES WE CAN FILL WITH = 9C3 WAYS
  
  AND LEFT 6 BLACK MARBLES CAN FILL IN LEFT 6 PLACES
  
  HENCE ,
  
  RIGHT ANSWER IS 9C3
• 8 years agoHelpfull: Yes(2) No(0)
• we have 9 positions to be filled with 9 marbles,
  so normally we can fill 9 positions in 9! ways,
  but out of these 9 marbles- 3 are white and 6 are black
  so, divide the 9! by (3!*6!)
  finally= 9!/(3!*6!)
• 8 years agoHelpfull: Yes(2) No(0)
• 3!*6!=4320
• 9 years agoHelpfull: Yes(1) No(3)
• 3 white marble + 6 black marble=9 marbles total.3X3 grid means 9 block.9 marble and 9 block.so 9!=362,880
• 9 years agoHelpfull: Yes(0) No(3)
• 3!*6!=4320
• 9 years agoHelpfull: Yes(0) No(5)
• 
  It is a 3*3 grid, so there are a total of 9 spaces where you can place the marbles . Let us first place the 3 white marbles, that can be done in 9C3 ways. There are 6 spaces available and 6 black marbles are to be placed in those 6 spaces. So, that can be done in 1 way.
  Hence the answer would be 9C3.
• 8 years agoHelpfull: Yes(0) No(0)