seven different objects divided in three peoples . in how many ways this can be done if one or two of them must get no objects

options
a 381
b 36
c 84
d 174
e 180

• In this Question r^n formula will be use (Number of ways in which n distinct object can be distributed to r different persons =r^n)from questions clear that n=7 and r=3 i.e. 3^7-2
• 10 years agoHelpfull: Yes(0) No(0)
• I think 108
  2 cases
  A: when 1 get nothing=7!/(3!×4!)×3C1
  B: when 2 get nothing=3
  A+B=108
• 10 years agoHelpfull: Yes(0) No(0)
• 84
  2 cases a) when 1 person gets all of them=7c1×3c1
  b) 2 among 3=3c2×7p2
• 10 years agoHelpfull: Yes(0) No(0)