Latest Elitmus Aptitude Question SOLUTION: Find the no. of ways you can fill a 3*3 grid(with 4 corners defined as a,b,c,d)if you have 3 white marbles,6 black marbles

• Placement Papers
• /
• Elitmus
• /
• Logical Reasoning
• /
• Blood Relations

Elitmus Question Papers:

(#M40013560) ELITMUS Logical Reasoning question permutations Keep an EYE

Find the no. of ways you can fill a 3*3 grid(with 4 corners defined as a,b,c,d)if you have 3 white marbles,6 black marbles

Asked In Elitmus Durgaprasad (11 years ago)

Unsolved Read Solution (8)

Is this Puzzle helpful?   (32)   (8) Submit Your Solution Blood Relations

Read Solution (8) :

Nivali  (11 years ago)

have to put 9 marbles in nine places...and out of them 3 are of one type and 6 are of another type
so answer is 9!/(3!*6!) = 84 ways

Is this solution Helpfull? Yes (35) | No (1)  

Garima  (11 years ago)

84 ways

There are three main possible ways of arranging the marbles -

1) BBB , BBB, WWW

Arranging these three set of marbles in three rows = 3
by keeping www in top , middle and bottom row one by one.

2) BBW , BBW , BBW

Arranging these three set of marbles in three rows = (3!/2!)*(3!/2!)*(3!/2!)=3*3*3 =27

3)BWW , BBW , BBB

Arranging these three set of marbles in three rows = 3!*(3!/2!)*(3!/2!)*(3!/3!) = 54 as all three groups are different from each other.

Total arrangements = 54 + 27 + 3 =84

Is this solution Helpfull? Yes (13) | No   

Kapil Dev Mishra  (11 years ago)

Ans: 84

=========================================================================
nCr = C(n,r)

Filling 9 Place with 3 white ball = C(9,3).
Remaining place is 9-3=6, thus filling rest of the place = C(9-3, 6) = 1

Total = C(9,3)*C(9-3,6) = 84*1 = 84

Is this solution Helpfull? Yes (12) | No   

Garima  (11 years ago)

Just find the ways of putting 3 white marbles at 9 possible places.
possible ways = 9C3= 9*8*7/6 = 84 ways

Is this solution Helpfull? Yes (8) | No (1)  

Vaibhav Tiwari  (11 years ago)

In addition to answer of Garima.Just find the ways of putting 3 white marbles or 6 black marbles at 9 possible places.
possible ways = 9C3 or 9C6= 9*8*7/6 = 84 ways (nCr=nCn-r)

Is this solution Helpfull? Yes (4) | No (1)  

sravani  (9 years ago)

total marbles are 9 so, 9! ways and 3 are common and 6 are common...
so,
9! / 3!*6! =9*7*8/6 =12*7=84 ways...

Is this solution Helpfull? Yes (2) | No   

ravi  (7 years ago)

possible ways 9C6=84

Is this solution Helpfull? Yes | No   

sonali  (5 years ago)

Firstly the question is not complete..
please ans this question in
1) 9C3
2) 6C3
3) 9C3+6C3
4) (9C3+6C3)/3!
in this

Is this solution Helpfull? Yes | No   

Please Login to Read Solution.