Q. Chief minister Arvind , other ministers and policemen travel from one place to other in a convey. Each of them have their own cars. There are 10 members- 4 police and 6 ministers - The ministers are Arvind, M, Rakesh, G, S and B.
1)Arvind and G are scared and do not stand at the front or at the rear end of the convey
2) M is at the 9th position
3) S,B and Rakesh move one after the other and B is always between S and Rakesh.
4) Arvind and G are neither after nor before any minister.

What are combinations possible?

• There are 8 combinations possible.
  Combination=Selection
  
  Let us first eliminate the positions Arvind and G cannot occupy.
  These will be 1,8,9 and 10.
  1 and 10 due to the 1st condition
  8 and 9 due to the 4th and 2nd conditions respectively
  
  S-B-R can occupy only 3 consecutive positions.
  This can be 1-2-3, 2-3-4, 3-4-5, 4-5-6, 5-6-7 or 6-7-8
  
  If we select 1-2-3, the 4th position becomes unavailable for Arvind/G owing to condition 4. Now, 3 positions available(5,6,7) for 2 ministers Arvind and G. This will be 3C2=3
  
  If we select 2-3-4, the 5th position becomes unavailable for Arvind/G. Now, only 2 positions(6,7) available for 2 ministers. This will be 2C2=1
  
  If we select 3-4-5, the 2nd and 6th positions become unavailable. Now only 1 position(7) available for 2 ministers.
  Similarly, for 4-5-6, the 3rd and 7th positions become unavailable. Now also only 1 position(2) available for 2 ministers.
  
  If we select 5-6-7, the 4th position becomes unavailable for Arvind/G. Now, only 2 positions(2,3) available for 2 ministers. This will be 2C2=1
  
  If we select 6-7-8, 5th position becomes unavailable. Now 3 positions(2,3,4) available for Arvind/G. This will be 3C2=3
  
  Thus, the total number of combinations=3C2+2C2+2C2+3C2=3+1+1+3=8
• 10 years agoHelpfull: Yes(9) No(0)
• there are 5 combinations like:-
  s b r p a p g p m p
  r b s p a p g p m p
  r b s p g p a p m p
  s b r p g p a p m p
  p g p a p r b s m p
• 10 years agoHelpfull: Yes(2) No(1)
• Other Parts of the question are
  1. What is the minimum no of cars between B and M?
  2. What is the minimum no combination possible where more than 3 ministers move one after another?
  3. What is the minimum no of combinations possible for M, preceded and followed by a police?
  4. Which statements are true?
  a. There never be a police at first
  b.2 polices move one after another.
• 10 years agoHelpfull: Yes(2) No(0)
• sorry the possible combinations are:-
  s b r p g p a p m p
  p s b r p g p a m p
  p s b r p g a p m p
  p p a g p r b s m p
  p a p g p r b s m p
• 10 years agoHelpfull: Yes(1) No(3)
• I got these 2 combinations, which match with all the given conditions..
  apart from the above condition,other given conditions in this post are,there is a police in between rakesh(R) and G, arvind(A) S and R uses red beacons, no two red beacons can go one after another.
  S B R P G P A P M P
  P A P G P R B S M P
• 10 years agoHelpfull: Yes(1) No(0)
• minimum cars between B and M would be 3 not 4....
• 10 years agoHelpfull: Yes(1) No(1)
• My answer is wrong
• 10 years agoHelpfull: Yes(1) No(0)
• these combination are 8
  sbrpapgpmp
  rbspapgpmp
  sbrpgpapmp
  rbspgpapmp
  pgpaprbsmp
  pgpapsbrmp
  papgprbsmp
  papgpsbrmp
  if ques is rightthen this willbe answer but as far as i know
  there was one more condition in which A,M,R are in red cars which can not be together and G,S,B were in blue cars......and in condition 4 G was not there, there was some other member
• 10 years agoHelpfull: Yes(1) No(1)
• if you remember kavya can you please mention other parts of this question....
  
• 10 years agoHelpfull: Yes(0) No(0)
• There is another condition which I forgot to mention..
  There is one Police between Arvind and Rakesh
• 10 years agoHelpfull: Yes(0) No(1)
• I got,
  P M P G P A P R B S
  P M S B R P A P G P
  P M P S B R P A P G
• 10 years agoHelpfull: Yes(0) No(3)
• No there is no police between Rakesh and Arvind , there lies a police between Rakesh and G. Another 2 conditions are there that Arvind, S and Rakesh are going using their Red Beacons where M, G and B using their Blue Beacons. No 2 Red beacons can go one after another.
• 10 years agoHelpfull: Yes(0) No(0)
• what is the ans for the minimum cars between b and m?
  
• 10 years agoHelpfull: Yes(0) No(0)
• i thnk its 4.
• 10 years agoHelpfull: Yes(0) No(0)
• When did you get this question? Last Sunday or few months back?
  
• 10 years agoHelpfull: Yes(0) No(0)
• this is what we got last sunday........
• 10 years agoHelpfull: Yes(0) No(0)
• FROM WHERE I CAN PRACTICE THESE TYPE OF QUESTIONS?
• 10 years agoHelpfull: Yes(0) No(0)
• ANWER to mainik das questions wil be
  1. one
  2.three
  3.five
  4.b
• 8 years agoHelpfull: Yes(0) No(0)