Latest Infosys Aptitude Question SOLUTION: There are 16 people, they divide in to four groups,now from those four groups select a team of three members,such that no two members in the team should belong to same group

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There are 16 people, they divide in to four groups,now from those four groups select a team of three members,such that no two members in the team should belong to same group

Asked In Infosys vikram (10 years ago)

Solved rohit raj Read Solution (14)

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Read Solution (14) :

vishnupriya  (10 years ago)

4c1*4c1*4c1*4c3=256 (4c3 means we can select any 3 teams from four teams and each one from each team)

Is this solution Helpfull? Yes (43) | No   

gulshan  (9 years ago)

let there is 4 team A , B , C, D, having 4 member each.
now total number of team can be formed is A B C OR A B D OR A C D OR B C D .
SO for first team 1 member selected from group A by 4c1 ways , similarly 1 member from B by 4c1 ways , similarly from C by 4c1 ways.
so we can select 1st team by 4c1 * 4c1 *4c1 *4c1
since we can select team as ABC OR ABD OR ACD OR BCD SO no of ways of selecting team is
(4c1 * 4c1 *4c1 *4c1 ) OR (4c1 * 4c1 *4c1 *4c1 ) or (4c1 * 4c1 *4c1 *4c1 ) OR (4c1 * 4c1 *4c1 *4c1 )=

(4c1 * 4c1 *4c1 *4c1 ) + (4c1 * 4c1 *4c1 *4c1 ) + (4c1 * 4c1 *4c1 *4c1 ) + (4c1 * 4c1 *4c1 *4c1 ) =
64+64+64+64 = 256

Is this solution Helpfull? Yes (14) | No (8)  

Aditi Jain  (10 years ago)

(4c1*4c1*4c1)+(4c1*4c1*4c1)+(4c1*4c1*4c1)+(4c1*4c1*4c1)
4*(4c1*4c1*4c1)
4*(4*4*4)
=256

Is this solution Helpfull? Yes (13) | No (1)  

Div  (10 years ago)

@Rohit Raj 4c0=1 then how can you get 4^4

Is this solution Helpfull? Yes (7) | No   

rohit raj  (10 years ago)

4c1*4c1*4c1*4c0=4^4=256
select one one from three groups by 4c1 and 0 from last group by 4c0.

Is this solution Helpfull? Yes (6) | No (7)  

NISHANT AGARWAL  (10 years ago)

Ans is 128

This is a problem of Selection not Combination.

4P1 * 4P1 * (4P1+4P1) // using +(OR) for selecting any1 of the last 2groups
=4*4*(8)= 128

Is this solution Helpfull? Yes (5) | No (10)  

akanki agrawal  (10 years ago)

4*4*4+4*4*4+4*4*4+4*4*4 = 256

Is this solution Helpfull? Yes (5) | No   

prachi  (6 years ago)

there are 3 places to fill
and we have 4 grp
so
4*3*2=24

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

sowmya  (10 years ago)

ans is 256

Is this solution Helpfull? Yes | No   

vikram  (10 years ago)

can u plz xplain hw its 256

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pritam banerjee  (9 years ago)

gulsan gave perfect soltn thnx

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pritam banerjee  (9 years ago)

gulsan gave perfect soltn thnx

Is this solution Helpfull? Yes | No (1)  

pritam banerjee  (9 years ago)

gulsan gave perfect soltn thnx

Is this solution Helpfull? Yes | No (1)  

Abishake  (6 years ago)

ans is 256

Is this solution Helpfull? Yes | No (1)  

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