7 different objects are divided among 3 different person,so that either one or two of them do not get any object.how many such combinations are possible?

• Case 1 :
  Two of them do not get any object,
  this means all 7 Different objects is given to only one person.
  But there are 3 different person hence
  
  No. of ways (N1)= 3 Ways (007,070,700)
  
  Case 2:
  One of them do not get any object.
  
  Hence the other 2 will get the 7 different objects.
  
  This is done in 6 ways i.e (160,250,340,430,520,610)
  
  again there are 3 different persons
  hence
  No. of ways (N2) = 3*6 = 18
  
  Total no. of ways = N1+N2= 3+18 = 21
• 10 years agoHelpfull: Yes(12) No(4)
• here by prob we can say that if any 2 dont get any obj.total obj goes to 3rd person in 3 way.
  if 1 of them dont get object then 7 object goes to 2 person
  
  (1,6)=7c1
  
  (2,5)=7c2
  
  (3,4)=7c3
  
  (4,3)=7c4
  
  (5,2)=7c5
  
  (6,1)=7c6
  
  total 7c1+7c2+7c3+7c4+7c5+7c6=126
  
  for 2 person two way=2*126=378
  
  3rd person get the object in 3 way
  
  so tatal =3+378=381 way Ans
• 10 years agoHelpfull: Yes(9) No(10)
• if 2 dont get object then 7 objects will go to one person in 3ways...3c1
  if 1 dont get obect then 7 objects go to 2 persons
  (1,6)=7c1
  (2,5)=7c2
  (3,4)=7c3
  (4,3)=7c4
  (5,2)=7c5
  (6,1)=7c6
  total=126
  2 persons is selected among 3 persons in 3c2 ways
  hence 3*126+3=381
• 10 years agoHelpfull: Yes(6) No(0)
• case 1: two of them do not get any object:
  7C1=7 ways=7
  case 2: one of them do not get any object:
  7C2 * 3C2= 21*3=63
  total combinations= 63+7=70
• 10 years agoHelpfull: Yes(1) No(1)
• ans is 3^7
  r^n here r is persons and n is different things
• 10 years agoHelpfull: Yes(0) No(3)
• ans is 84 as there will be two case case 1 if 1 person doesnot get anything in case no of combinations will be 3c1*7C2 and case 2 when 2 person will get nothing then no of combinations will be 3C2*7C1
  so ans = 3C1*7C2+3C2*7C1 = 84
• 10 years agoHelpfull: Yes(0) No(2)
• can any one tell me the correct answer plz!
• 10 years agoHelpfull: Yes(0) No(1)
• since it is possible to give no objects to one of two person,then we would hv 3choices..for giving each item..3*3*3*3*3*3*3
  2187
• 10 years agoHelpfull: Yes(0) No(1)
• I guess, here we can select either of 1 and 2 in two ways,,
  so we should use 2*7c2 == 42 is answer i guess..
• 10 years agoHelpfull: Yes(0) No(0)
• for 2 person two way=2*126=378
  
  3rd person get the object in 3 way
  
  so tatal =3+378=381 way
• 10 years agoHelpfull: Yes(0) No(0)