Latest TCS Aptitude Question SOLUTION: In how many ways can 7 different objects be dived among 3 persons so that either one or two of them do not get any object? a. 381 b. 180 c. 36 d. 84

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In how many ways can 7 different objects be dived among 3 persons so that either one or two of them do not get any object?

a. 381
b. 180
c. 36
d. 84

Asked In TCS Neerajita pal (9 years ago)

Solved hemraj Read Solution (6)

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Read Solution (6) :

hemraj  (9 years ago)

case 1: for all obj are given to one person 3
case 2: choose two out of 3 3c2=3
naw no of ways to distribute 7 obj to two person=2^7
sub two way when no obj is given to both
so no of ways=3+3c2(2^7-2)=381

Is this solution Helpfull? Yes (19) | No (2)  

Pallavi  (9 years ago)

case 1: when one of them do not get any object, then the objects will be divided among 2 persons.
no. of ways to select 2 persons= 3c2.
no. of ways to divide 7 objects among 2 persons= 2^7.
so required no. of ways= 3c2(2^7-2) = 378 [when none of them get any object]

case 2: when objects are given to only one person.
reqd. no. of ways= 3c1 =3.
so, total no. of ways = 378+3 = 381

Is this solution Helpfull? Yes (8) | No   

raviteja  (9 years ago)

is this corect way of answe total 7c3-(7c1+7c2)

Is this solution Helpfull? Yes (6) | No (4)  

Sourick  (9 years ago)

can u xplain that why 2 is subtracting

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

nilima  (9 years ago)

381
as per first and second condition
(3*2^7)-3

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

Ridhita  (9 years ago)

ans- (7+3-1)C(3)=84

Is this solution Helpfull? Yes | No (5)  

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