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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
Read Solution (Total 14)
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- 4c1*4c1*4c1*4c3=256 (4c3 means we can select any 3 teams from four teams and each one from each team)
- 10 years agoHelpfull: Yes(43) No(0)
- 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 - 10 years agoHelpfull: Yes(14) No(8)
- (4c1*4c1*4c1)+(4c1*4c1*4c1)+(4c1*4c1*4c1)+(4c1*4c1*4c1)
4*(4c1*4c1*4c1)
4*(4*4*4)
=256 - 10 years agoHelpfull: Yes(13) No(1)
- @Rohit Raj 4c0=1 then how can you get 4^4
- 10 years agoHelpfull: Yes(7) No(0)
- 4c1*4c1*4c1*4c0=4^4=256
select one one from three groups by 4c1 and 0 from last group by 4c0. - 10 years agoHelpfull: Yes(6) No(7)
- 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 - 10 years agoHelpfull: Yes(5) No(10)
- 4*4*4+4*4*4+4*4*4+4*4*4 = 256
- 10 years agoHelpfull: Yes(5) No(0)
- there are 3 places to fill
and we have 4 grp
so
4*3*2=24 - 7 years agoHelpfull: Yes(1) No(2)
- ans is 256
- 10 years agoHelpfull: Yes(0) No(0)
- can u plz xplain hw its 256
- 10 years agoHelpfull: Yes(0) No(0)
- gulsan gave perfect soltn thnx
- 10 years agoHelpfull: Yes(0) No(0)
- gulsan gave perfect soltn thnx
- 10 years agoHelpfull: Yes(0) No(1)
- gulsan gave perfect soltn thnx
- 10 years agoHelpfull: Yes(0) No(1)
- ans is 256
- 7 years agoHelpfull: Yes(0) No(1)
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