Latest TCS Aptitude Question SOLUTION: In how many ways can seven different objects be divided among three persons so that either 1 or 2 of them do not get any object 1. 180 2. 381 3. 36 4. 84

• Placement Papers
• /
• TCS
• /
• Category

TCS Question Papers: TCS Interview Experience(90) TCS Company Profile

(#M40040255) TCS Category question Permutation and combination Keep an EYE

In how many ways can seven different objects be divided among three persons so that either 1 or 2 of them do not get any object
1. 180
2. 381
3. 36
4. 84

Asked In TCS harshit gupta (9 years ago)

Unsolved Read Solution (4)

Is this Puzzle helpful?   (2)   (2) Submit Your Solution

Read Solution (4) :

Ranajit Banerjee  (9 years ago)

when 2 person does not get any object -
all items go to 1 person hence 3 ways
when 1 person does not get any object -
A gets 1 object B gets 6 -7c1
A gets 2 object B gets 5 -7c2
A gets 3 object B gets 4 -7c3
A gets 4 object B gets 3 -7c4
A gets 5 object B gets 2 -7c5
A gets 6 object B gets 1 -7c6
=126
now either A gets 0 or B gets 0 or C gets 0 object so,126*3=378 ways
total ways=378+3=381 ways(ans).

Is this solution Helpfull? Yes (18) | No (2)  

Pawan Devaliya  (9 years ago)

1 of them do not get any object= remaining 2 of them took all the objects(there are 3 ways to do this) = 3*( 7C1*6C6 + 7C2*5C5 + 7C3*4C4 )=378

now, 2 of them do not get any object= 1 of them took all the objects (again there are 3 ways to do this)=3*(7C7)=3

so ans is =378 + 3 = 381

Is this solution Helpfull? Yes (10) | No (1)  

Sweta Rani  (9 years ago)

when 1 person does not get any object,
7 objects will be distributed between two persons
no. of ways of distributing 7 objects between two persons= 7c1+7c2+7c3+7c4+7c4+7c5+7c6+7c7 = 126
also two persons can be selected in 3c2 i.e 3 ways
so total no. of ways of distributing objects when 1 person does not get any object= 3*126=378
when two person does not get any object, all d 7 objects will be given to 1 person.. and this 0ne person can be selected from 3 persons in three ways..
so total no. of required ways = 378+3= 381

Is this solution Helpfull? Yes (3) | No   

komal kokate  (9 years ago)

using formula n+r-1Cr-1
7+3-1C3-1= 9C2
ans. 36

Is this solution Helpfull? Yes (2) | No (11)  

Please Login to Read Solution.