In how many ways we distribute 10 identical looking pencils to 4 students so that each student get at least one?

• each student get at least one pencil so distribute 4 pencil to 4 student so that each get 1.
  remaining 10-4=6 pencils have to distribute in 4 students so that one gets 0,1 or 2 pencil
  no. of ways = (n+r-1)C(r-1)
  here, n=6 & r=4
  
  so, no. of ways = (6+4-1)C(4-1) = 9C3 = 9C6 = 84
• 10 years agoHelpfull: Yes(37) No(0)
• each student gets at least 1 therefore pencils left for distribution=6
  6 pencils can be distributed to 4 students in 6C4 ways.
  =>15 ways.
  
• 10 years agoHelpfull: Yes(2) No(2)
• 9c3 ways
  
  
• 9 years agoHelpfull: Yes(1) No(0)
• the total no. of ways = 10p4
  10*9*8*7/4*3*2*1= 210 ways
• 10 years agoHelpfull: Yes(0) No(3)
• identical things n=10
  r=4
  apply n+r-1 C r-1 = 10+4-1 C 4-1 = 13 C 3 = 286
• 9 years agoHelpfull: Yes(0) No(0)
• nCr
  6C4=15 ways
• 9 years agoHelpfull: Yes(0) No(0)