Find the no of ways in which 6 toffees can be distributed over 5 different people namely A,B,C,D,E.

• acc to formula (n+r-1)C (r-1) = (6+5-1)C(5-1)
  =10C4 = 210 answer
• 10 years agoHelpfull: Yes(58) No(2)
• For A , there are 6 ways
  For B, there are 5 ways
  Like that 6 * 5 * 4 * 3 * 2 = 720 ways
  
  Ans : 720 ways
• 10 years agoHelpfull: Yes(45) No(47)
• If one of them gets all toffees => 5C1 = 5ways
  If 6 toffees divided among two(1+5,2+4,3+3,4+2,5+1) => 5C2*5 = 50 ways
  If 6 toffees divided among three(10 ways.1,2,3 1,4,1 2,2,2)=> 5C3*10=100 ways
  If 6 toffees divided among four(10ways .1,2,2,1 3,1,1,1 ) => 5C4*10 = 50 ways.
  If 6 divided among all(5 ways) => 5ways.
  
  Total no. of ways = 5+50+100+50+5=210ways.
• 10 years agoHelpfull: Yes(14) No(0)
• (Distribution of Identical to Different)
  n+r-1Cr-1
  =6+5-1C5-1
  =10C4
  =210
• 10 years agoHelpfull: Yes(13) No(0)
• 210
  
  n+r-1Cr-1
  n=6,
  r=5
• 10 years agoHelpfull: Yes(9) No(0)
• 5^6 answer.
  15625
• 10 years agoHelpfull: Yes(9) No(10)
• In 6c5 ways = 6 ways
• 10 years agoHelpfull: Yes(6) No(9)
• A, B,C,D,E
  first 6 can be distributed among them in 6c5 ways..suppose it is given to A..
  then remaing 5 can be distributed to B,C,D,E in 5c4 ways(to B)
  4 can distributed among C,D,E in 4c3 ways (to C)
  3 can be distributed b/w D,E in 3c2 ways (to D)
  Remaing 2 will be give to E
  
  i.e: 6c5 * 5c4 *4c3 * 3c2 * 2c1
  6 * 5 * 4 * 3 * 2 * 1 = 720
  
  Ans : 720
  
  
• 10 years agoHelpfull: Yes(5) No(5)
• 720 seems wrong.
  As per the question,toffees arent different but people are.So toffees need not have arrangement.
  
  If one of them gets all toffees => 6C1 = 6 ways
  If 6 toffees divided among two(1+5,2+4,3+3,4+2,5+1) => 6C2*5 = 75 ways
  If 6 toffees divided among three(10 ways)=> 6C2*10=150 ways
  If 6 toffees divided among four(10 ways) => 6C4*10 = 150 ways.
  If 6 divided among all(5 ways) => 6C5*5=30 ways.
  
  Total no. of ways = 6+75+150+150+30=411 ways.
• 10 years agoHelpfull: Yes(5) No(7)
• We assume that all the toffees are similar. Then Number of ways are
  (n+r-1)C(r-1)
  
  . Here A + B + C + D + E = 6
  Here r = 5, n = 6
  Number of ways = (6+5-1) C(5-1)
  =10C4
  =210 ans
  
  " If all the toffees are different, then each toffee can be distributed to any of the five. So total ways are
  5^6 "
• 6 years agoHelpfull: Yes(3) No(0)
• 10c5=252 ways..
• 10 years agoHelpfull: Yes(2) No(1)
• there are 720 ways.
  since there r 6 toffes which r distributed btwn 5 people,it means 6c5 * 5c4 * 4c3 * 3c2 * 2c1 = 720
• 10 years agoHelpfull: Yes(2) No(1)
• @ could you explain how the formula is formulated?
• 10 years agoHelpfull: Yes(1) No(0)
• 6C5=6C(6-5)=6C1
  =6x5x4x3x2x1
  =720
• 10 years agoHelpfull: Yes(1) No(7)
• n=6
  r=5
  
  n+r-1 6+5-1
  C = C =210 ways.
  r-1 5-1
• 10 years agoHelpfull: Yes(1) No(0)
• Ans: 3125.
  5 raised to the power 6
• 8 years agoHelpfull: Yes(1) No(0)
• We assume that all the toffees are similar.
  Then Number of ways are (n+r−1)Cr−1(n+r−1)Cr−1.
  Here A + B + C + D + E = 6
  Here r = 5, n = 6
  Number of ways =(n+r-1)C (r-1) = (6+5-1)C(5-1)= 210 .
  
  If all the toffees are different, then each toffee can be distributed to any of the five That case total ways are 56.
  
  
• 8 years agoHelpfull: Yes(1) No(0)
• 6 * 5 * 4 * 3 * 2 = 720 ways
  
  Ans : 720 ways
• 10 years agoHelpfull: Yes(0) No(2)
• 6!=6*5*4*3*2*1=720
• 10 years agoHelpfull: Yes(0) No(1)
• 6c5*5!=720
• 10 years agoHelpfull: Yes(0) No(0)
• no of ways to select 5 toffees = 6C5 => 6 ways
  no of ways each person(5) gets one toffee at least from the selected toffees = 5!
  total no of ways = 6*5! => 720
  now the last one can be given to anyone among the 5 persons hence total no of ways = 720*5/2= 1800 ways
  
  
• 10 years agoHelpfull: Yes(0) No(0)
• i am not getting which one is the correct answer can anyone help me out??
• 9 years agoHelpfull: Yes(0) No(0)
• m not getting which is correct answer
• 9 years agoHelpfull: Yes(0) No(0)
• 6*5*4*3*2*1=720
• 9 years agoHelpfull: Yes(0) No(1)