In how MANY WAYS can we distribute 10 identical pencil into 4 students so that each student get at least 1 pencil ??

• Let us distribute 1 pencil to each.
  Then pencils left =10-4=6
  Now ways of distributing 6 pencils among 4 such that each gets 0 or more
  =(n+r-1)C(r-1) - this is a standard formula
  =(6+4-1)C(4-1)
  =9C3
  =84
• 12 years agoHelpfull: Yes(35) No(1)
• in this case, we have to give ATLEAST 1 pencil to every1.
  so, (n-1)C(4-1)=9C3=84
• 12 years agoHelpfull: Yes(8) No(2)
• logic (n+r-1)c(r-1)
  distribute 1 pencil to each student
  6 pencils left,distribute among 4 students
  (6+4-1)c(4-1)=9C3=84
  
• 12 years agoHelpfull: Yes(6) No(0)
• ans is (n-1)c(r-1)
  so ans will be 9c3=84
• 12 years agoHelpfull: Yes(3) No(2)
• total ways ar 9c3
• 12 years agoHelpfull: Yes(0) No(0)