Latest TCS Aptitude Question SOLUTION: Determine the number of ways to distribute 10 (indistinguishable) orange drinks, 1 lemon drink, and 1 lime drink to four thirsty students such so that each student gets at least on

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Determine the number of ways to distribute 10 (indistinguishable) orange drinks, 1 lemon drink, and 1 lime drink to four thirsty students such so that each student gets at least one drink, and the lemon and lime drinks go to different students.

Asked In TCS GAURAV JAISWAL (10 years ago)

Unsolved Read Solution (12)

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Read Solution (12) :

lakshmi vyshnavi  (10 years ago)

first we have give 1 lemon and 1 lime drink to 2 distinct persons.
For this 1st we have select 2 out of 4 persons in 4c2 ways and arrange in 2! ways
Then for satisfying the condition of atleast one, give 2 orange drinks of rem 2 people in 1 way(since identical).
now we have 8 orange drinks to be distributed it to 4 drinks.
for this we can use the formula (n+r-1)c(r-1) where n=8 and r=4
Hence the final ans is (8+4-1)c(4-1)*4c2*2!=1980.

Is this solution Helpfull? Yes (18) | No   

Rana  (10 years ago)

4 choices for who gets the lemon drink.
3 choices for who gets the lime drink.
Then give an orange drink to each of the other two, leaving 8 orange drinks.

Now you have satisfied all the conditions, except for distributing all the drinks.

Now put the 8 orange drinks in a row: o o o o o o o o
We will put divide them up into 4 groups by putting | markers in 3 places.
For example:
o o | o | o o o o | o would mean first kid gets 2, next gets 1, next gets 4, next gets 1.
or
o o o o o o o o | | | means first kid gets all 8.

So we have 8 circles and 3 bars to arrange.
We can view that as 11 positions and we choose any 3 for the bars.
That is, there are 11 C 3 ways to do it.

So the answer is 12 (the number of ways of doing the first 4 drinks) * 11 C 3,
which is 12 * 165 = 1980

Is this solution Helpfull? Yes (15) | No (6)  

Priyank Kumar  (10 years ago)

Sorry, the answer is 4P2*9C3

Is this solution Helpfull? Yes (8) | No (4)  

Arshal Jain  (10 years ago)

my previous answer was wrong.....it should be 4c2 * 11c3 = 990

Is this solution Helpfull? Yes (2) | No (4)  

Priyank Kumar  (10 years ago)

2 distinct drinks that are lemon and lime can be given to 4 students in 4P2 ways and 10 identical orange juice can be given to 4 students such that each gets atleast 1 is 10C3. So the final solution is 4P2*10C3

Is this solution Helpfull? Yes (1) | No (2)  

Rudra  (10 years ago)

@GAURAV JAISWAL heyy gaurav what is the real answer????

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

ritabrata gautam  (10 years ago)

http://answers.yahoo.com/question/index?qid=20100207182917AAlCeLV get the correct ans here

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

Saloni Singh  (10 years ago)

4c2*2x10c4

Is this solution Helpfull? Yes | No   

Arshal Jain  (10 years ago)

4C2 * 10 * 9 * 8 * 7 = 30240

Is this solution Helpfull? Yes | No   

ANIL AGRAHARI  (10 years ago)

4c2=12 ese

Is this solution Helpfull? Yes | No (2)  

mustafa  (10 years ago)

10c3×2!
its formula to ditribute n things to k people n-1ck-1 so first consider 1lime and 1 lemon can be given to one studen den multiply it with 2!

Is this solution Helpfull? Yes | No (3)  

seetha  (10 years ago)

4p2 x 11c3

Is this solution Helpfull? Yes | No   

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