In how many ways 1.can we distribute 10 identical looking pencils to 4 students so that each student gets at least one pencil?

• firstly give 1 pencil each to the 4, now we can distriobute the remaining 6 pencils any way we like.
  using the "stars and bars" formula, (6+4-1)C(4-1)
  = 9C3 = 84
• 11 years agoHelpfull: Yes(21) No(1)
• there are 10 pencils
  so 1 given to each
  hence 6 remains
  as per product rule and sum rule
  4*(6+5+4+3+2+1)=84
• 11 years agoHelpfull: Yes(12) No(0)
• here we use the formula (n-1)C(r-1)
  here n=10 and r=4
  so ans will be 9C3=168
• 11 years agoHelpfull: Yes(3) No(7)
• (n-1)c (r-1)=9c3=84
  
• 11 years agoHelpfull: Yes(3) No(0)
• as 4 student get 1 pencil each
  left 6 pencils are distributed in any manner
  so,6*5*4*3=360
• 11 years agoHelpfull: Yes(0) No(12)
• please give a suitable explanation for this answer
• 11 years agoHelpfull: Yes(0) No(0)