r = number of flags;
n = number of poles;
Any number of flags can be accommodated on any single pole.

r= 5 n = 3 . If first pole has 2 flags ,third pole has 1 flag, how many ways the remaining can be arranged?

• it can be arranged in 6 ways
  
  2 flags are remaining and as it is given that 3 poles can have any no. of flags therefore
  3p2=3!/(3-2)!
  =3*2=6 ways
• 10 years agoHelpfull: Yes(19) No(0)
• if first pole have 2 flag then v have (5-2)=3 flags remaining.
  now,if third pole have 1 flag then v have (3-1)=2 flags remaining.
  
  so 2 flags can be arranged in 2! ways..ie-->2
• 10 years agoHelpfull: Yes(7) No(8)
• 1st pole have 2 flag
  3rd pole have 1 flag
  
  remaining flag is 2:
  **any number of flag can be accommodated on any single pole
  
  -if 2nd flag have 0 means
  that 2 flag can accommodated in either 1 or 3.or each has 1-->here possibility that 2 flag is arranged in 3 ways
  
  -if 2nd flag have 2 means-->possibility of 2 flad arranged in 1 way
  
  -if 2nd have 1 means-->either 1 or 3rd has 1 flag-->possibility is 2 ways
  
  
  total possibilty is 6 ways..
  3p2=3!/(3-2)!
  =3*2=6 ways
  
• 10 years agoHelpfull: Yes(6) No(0)
• 3p2=3!/(3-2)! = 3*2=6 ways
• 10 years agoHelpfull: Yes(4) No(0)
• If the first pole has 2 flags,third pole has 1 flag...
  so the remaining flags are 2.
  the remaining pole is 1.
  So it can be arranged in 2 ways.....
• 10 years agoHelpfull: Yes(1) No(6)
• hi nithiyadevi, i can't understand how it becomes.pls explain step by step
  
  -if 2nd flag have 0 means
  that 2 flag can accommodated in either 1 or 3.or each has 1-->here possibility that 2 flag is arranged in 3 ways
  
  -if 2nd flag have 2 means-->possibility of 2 flad arranged in 1 way
  
  -if 2nd have 1 means-->either 1 or 3rd has 1 flag-->possibility is 2 ways
  
• 10 years agoHelpfull: Yes(0) No(2)
• since color of the flags have not been given. so it can be solved in two ways. considering flags are of the different colors or same colors.
  with former, 2 flags are remaining for 3 poles so it can be arranged in 3^2 i.e 9 ways. in later case, it can be arranged in 3 ways.
• 9 years agoHelpfull: Yes(0) No(1)