Latest Elitmus Aptitude Question SOLUTION: No of ways you can fill a 3*3 grid (with 4 corners marked as a,b,c,d) if you have 3 white and 6 black marbles. Option a) 9C3 b) 6C3 c) 9C3+6C3 d) (9C3+6C3)/3!

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(#M40034318) ELITMUS Numerical Ability question p&c Keep an EYE

No of ways you can fill a 3*3 grid (with 4 corners marked as a,b,c,d) if you have 3 white and 6 black marbles.
Option
a) 9C3
b) 6C3
c) 9C3+6C3
d) (9C3+6C3)/3!

Asked In Elitmus Geetanshu (10 years ago)

Unsolved Read Solution (7)

Is this Puzzle helpful?   (5)   (1) Submit Your Solution Permutation and Combination

Read Solution (7) :

RAKESH  (10 years ago)

3 white marbles can be filled in (3*3=9) grids in 9C3 ways & rest 6 will be automatically filled
so, no. of ways = 9C3

if we start with black marbles then 6 black marbles can be filled in 9C6 ways & rest 3 will be automatically filled

so, no. of ways = 9C6

2nd mtd,
we have to filled 3*3=9 grid with 3 of white & 6 of black marbles
so, no. of ways = 9!/(3!*6!) = 9C3 = 9C6 = 84

Is this solution Helpfull? Yes (42) | No (3)  

amit sinha  (10 years ago)

first fill 3 grids using white marbles by 9C3.Then,the remaining grids will be filled by black marbles i.e. 6 grids to be filled by 6 marbles,places here are 6,therefore,combinations will be 6C6.so the final answer is 9C3*6C6=9C3.

Is this solution Helpfull? Yes (5) | No   

SANTANA PANDA  (10 years ago)

.First let us take 3 white = 9!/(9-3)! 2. Let us take remaining 6 black - 6! ways we can place them 3. when we add both = 9!/(9-3)! * 6 ! = 9!

Is this solution Helpfull? Yes (1) | No (1)  

Geetanshu  (10 years ago)

9C3 i guess...as u only have to select spots for 3 white marbles and black will be automatically be at other 6 spots.

Is this solution Helpfull? Yes | No (1)  

tausif  (10 years ago)

9C3
as we all know the Marbles are same color

Is this solution Helpfull? Yes | No   

ankur agarwal  (10 years ago)

9c3
is the best way for marbles

Is this solution Helpfull? Yes | No (2)  

chetan kumar chauhan  (9 years ago)

No. of ways to arrange 9 marbles in 3*3 grid = 9!
here 3 marbles are white and 6 are black
so
required arrangement = 9!/(3!*6!) = 9C3 = 84

Is this solution Helpfull? Yes | No   

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