Chief MinisterAK,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 AK,M,R,G,S and B
1) AK 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 R move one after the other and B is always between S and R.
4) AK and G are neither after nor before any minister

What are combinations possible?????

• ans. is 8
  if police is assigned as P then
  9th position is fixed and so is 10th by police becoz S B R will stick together and
  AK n G have allignment of P AK P G P
  so possible outcomes
  P AK P G P S B R M P
  P AK P G P R B S M P
  P G P AK P S B R M P
  P G P AK P R B S M P
  S B R P AK P G P M P
  R B S P AK P G P M P
  S B R P G P AK P M P
  R B S P G P AK P M P
• 10 years agoHelpfull: Yes(48) No(7)
• ans. is 8
  1P
  2Ak
  3P
  4G
  5P
  6S
  7B
  8R
  9M
  10P
  
  
  1 to 5 can be arranged in 2 ways n 6 to 8 in 2 ways...2*2 =4
  
  
  similarly swap the 5 grp and 3 grp posn and again 4 so total 8
• 10 years agoHelpfull: Yes(10) No(4)
• 1P
  2Ak
  3P
  4G
  5P
  6S
  7B
  8R
  9M
  10P
  
  
  1 to 5 can be arranged in 2 ways n 6 to 8 in 2 ways...2*2 =4
  
  
  similarly swap the 5 grp and 3 grp posn and again 4 so total 8
• 10 years agoHelpfull: Yes(3) No(3)
• possible outcomes
  
  P AK P G P S B R M P
  Possible arrenegement
  B/W AK & G IS 2!
  B/W S & R is 2!
  HERE ALL POLICEMEN ARE DIFFERENT PERSON SO POSSIBILITIES IS 4!
  
  TOTAL POSSIBILITIES IS 4!*2!*2!=96
  
  AND ANOTHER ARRANGEMENT IS
  
  S B R P AK P G P M P
  TOTAL OUTCOMES IS 4!*2!*2!=96
  
  FINALLY THE TOTAL POSSIBILITIES IS 96+96=192
  
  
• 10 years agoHelpfull: Yes(3) No(4)
• If we take arrangement of 4police also then it is 192 otherwise it is 8.
• 10 years agoHelpfull: Yes(2) No(3)
• ans will be 192..
  
  4! * 2! * 2! * 2! = 192
  
  4! is for arrangement of 4 polices.
  
  2! is for arrangment between Ak & G.
  
  2! is for arrangment between S,B,R [ either SBR or RBS ].
  
  2! is for Group arrangement of SBR/RBS & P Ak P G P/PG P Ak P ie, either
  P-Ak/G-P-G/Ak-P-S/R-B-R/S-M-P or S/R-B-R/S-P-Ak/G-P-G/Ak-P-M-P
• 10 years agoHelpfull: Yes(1) No(8)
• s b r p1 ak p2 g p3 m p4
• 10 years agoHelpfull: Yes(0) No(5)
• PAKPGPSBRP
• 10 years agoHelpfull: Yes(0) No(3)
• p,p,ak,g,p,s,b,r,,m,p
• 10 years agoHelpfull: Yes(0) No(3)
• 1)S B R - - - - - M - :S B R arrange in 2! Ways*4 police cars in 4! Ways*in 5,6,7 position AK , G arrange in 3p2ways (6 ways)=288 ways
  2)- S B R- - - -M-:S B R In 2!*police 4!*in 6,7 th position G AK arrange in 2! Way =288
  3)----s B R - - M - 96 ways
  4)- - - --S B R M - 96 wayss
  5)---S B R - - M -not allowed
  
  6)- -S B R - - - M -not allowed
  Total ways 288+288+96+96=768
• 9 years agoHelpfull: Yes(0) No(1)
• 1) In case of AK and G group will be {P,AK,P,G,P} so this combination is 4C3 * 3!(for police) * 2!
  2) For S,B,R it has 2 possible combination.
  so total is (4C3*3!*2!)*(2!) *2!
• 9 years agoHelpfull: Yes(0) No(1)
• If police is assigned as P then
  9th position is fixed and so is 10th by police because S B R will stick together and
  AK n G have alignment of P AK P G P
  so possible outcomes
  P AK P G P S B R M P
  P AK P G P R B S M P
  P G P AK P S B R M P
  P G P AK P R B S M P
  S B R P AK P G P M P
  R B S P AK P G P M P
  S B R P G P AK P M P
  R B S P G P AK P M P
  
  And there are 4 Police i.e, 4 P and they can be arranged in 4! ways.
  
  So, 4! * 8= 32*8
  = 192 ways
• 9 years agoHelpfull: Yes(0) No(1)