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

• we may also go by this way
  
  
  firstly give 1 pencil each to the 4, now we can distribute the remaining 6 pencils any way we like.
  using the "stars and bars" formula, (6+4-1)C(4-1)
  = 9C3 = 84
• 10 years agoHelpfull: Yes(22) No(1)
• first distribute each student 1 pencil
  remaining are 6
  by (n+r-1)C(r-1)=9C3=84
• 10 years agoHelpfull: Yes(4) No(1)
• nCr = n!/r!(n-r)!
  
  10C4
  =10!/6!*4!
  =3628800 ÷ (6! × 4!)
  =210
  
• 10 years agoHelpfull: Yes(1) No(13)
• first give 1 pencil to each.now distribution of 6 any way. by( n+r-1)C(r-1)
  9C3=84
• 10 years agoHelpfull: Yes(1) No(1)
• First distribute 1 pencil to every one then apply the formulae for
  n+r-1 C r-1 i.e, 9c3. Ans.
• 10 years agoHelpfull: Yes(1) No(1)