Seven different objects must be divided among three people. In how many ways can this be done if one or two of them must get no objects?

1) 381
2) 36
3) 84
4) 174
5) 180

• 1)381
  For the case when two of them must get no objects, ways = 3 (for 3 persons)
  Then, for the case when one of them must get no objects = 3*2^7 - the overlapping case where two of them must get no objects
  =3*2^7 - 3 =381
• 10 years agoHelpfull: Yes(3) No(1)
• In 3^7 = 2187 ways, because each object can go to 3 different people, and by the rule of multiplying we get 3*3*...*3 = 3^7 ways.
• 11 years agoHelpfull: Yes(0) No(2)