Latest TCS Aptitude Question SOLUTION: Mr. shah has to divide his assets worth rs 30 crores in 3 parts to be given to three of his sons ajay, vijay and arun ensuring that every son gets assets atleast 5 crores. in how m

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Mr. shah has to divide his assets worth rs 30 crores in 3 parts to be given to three of his sons ajay, vijay and arun ensuring that every son gets assets atleast 5 crores. in how many ways can this be done if it is given that the three sons should get their shares in multiple of 1 crore?

Asked In TCS PRIYA NAMDEO (10 years ago)

Unsolved Read Solution (14)

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Read Solution (14) :

anjana gupta  (10 years ago)

Firstly we give 5 crores to each of the three sons
and hence it will cover 15 crores out of 30 crores.
Now rem 15 crores can be distributed among 3 sons using the formula...
(n+r-1)C(r-1) bcoz n ie 15 crores is identical here..
here we have n=15 &r=3
so 17c2=(17!)/(15!*2!)
thus we have 136 ways.

Is this solution Helpfull? Yes (26) | No (1)  

Kundan Kumar  (10 years ago)

Firstly give, 5 5 5 crore to each one.
Now the remaining amount is 15 crore.
Now, Let amount given to ajay, vijay and arun is a,b,c respectively,
ie. a+b+c=15
and it requires two partitions.
therefore, (17!)/((15!*2!)
hence 136 ways of distributing the amount.

Is this solution Helpfull? Yes (13) | No (10)  

Subhradip som  (10 years ago)

17c2 ways

Is this solution Helpfull? Yes (10) | No (9)  

Rajan Kumar  (10 years ago)

ncr means no. of combinations of n things taken r at a time.
(n+r-1)c(r-1) thing means No. of ways of distributing n identical things among r persons when each persons may get any no. of things.

Since here in remaining 15 crore rupees any amount of money can be distributed to any three children so,,, the value will be..
(15+3-1)c(3-1)=17c2=(17*16)/2=136

Is this solution Helpfull? Yes (9) | No (1)  

Shashwata Chakraborti  (10 years ago)

at 1st 5crores each so 15 crores divided among 3 of them.
then rest of the 15 crores will be distributed n-1cr-1 14c12=91 ways.

Is this solution Helpfull? Yes (6) | No (5)  

Soumya jyoti bhowmik  (10 years ago)

78.
Let each one of the sons get 5 crore.
Now,the left 15 crore to be distributed among 3 sons will be
n-r+1Cr-1=15-3+1C3-1=13C2=78

Is this solution Helpfull? Yes (3) | No (13)  

ganesh chemanchula  (10 years ago)

first divide each 5 crores
remaining can be done by (n+r-1)c(r-1)=17c2=136 ways

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

VISHAKHA BHATTACHARJEE  (10 years ago)

firstly divide 15 crore among 3 as 5 crore each.
now 15 crore is to be divided among 3 people such that each receives in a multiple of 1 crore.
so it will be n-1Cr-1.
14C2

Is this solution Helpfull? Yes (2) | No (6)  

Guru Pranav  (10 years ago)

17c2

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

ronak roy  (10 years ago)

since each son gets 5 5 5 crore
rest 15 crore divided into three sons in 15c2=455
am i rght or wrong??

Is this solution Helpfull? Yes (1) | No (7)  

hemant garg  (10 years ago)

30-15crores=15crores. it divide in 3 person so v use 15c3=455 ans

Is this solution Helpfull? Yes (1) | No (5)  

ankit  (10 years ago)

abe ese questions TCS me nahi ate yr ...JUST go through RS agrawal ...tht is sufficient for TCS

Is this solution Helpfull? Yes (1) | No (15)  

Chirag Ranjan Lahiri  (9 years ago)

Firstly give, 5 5 5 crore to each one.
Now the remaining amount is 15 crore.
Now, Let amount given to ajay, vijay and arun is a,b,c respectively,
ie. a+b+c=15
and it requires two partitions.
therefore, (17!)/((15!*2!)
hence 136 ways of distributing the amount

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

varshish  (8 years ago)

Firstly we give 5 crores to each of the three sons
and hence it will cover 15 crores out of 30 crores.
Now rem 15 crores can be distributed among 3 sons using the formula...
(n+r-1)C(r-1) bcoz n ie 15 crores is identical here..
here we have n=15 &r=3
so 17c2=(17!)/(15!*2!)
thus we have 136 ways.

Is this solution Helpfull? Yes | No   

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