In how many no of ways you can distribute 10 books among 4 students so that each student gets at-least one book??

• there is a formula for this,distibuting n identical things among r people such that each person gets at least one.(n-1)C(r-1)
  9C3 is the ans
• 10 years agoHelpfull: Yes(37) No(1)
• the formula is (n-1)C(r-1)=
  (10-1)C(4-1)=9C3 is the answer
• 10 years agoHelpfull: Yes(6) No(2)
• Considering 10 identical objects (Books in this case):-
  Each student has at least 1 book, so give 1 book each to all 4 students
  _ _ _ _ ->> Remaining n= 10-4= 6
  Now,use the formula for order partitions(n=6 and r=4):(6+4-1)C(4-1)=84 ways (Ans)
• 10 years agoHelpfull: Yes(6) No(1)
• 10c4 ways =210.
• 10 years agoHelpfull: Yes(4) No(26)
• ans 84
  
  There is a formula : (n-1)C(r-1)
  here n=10
  and r=4
  So, (10-9)C(4-1)=84.
• 10 years agoHelpfull: Yes(3) No(0)
• either nCr=10C4=210 or nC(r-1)=10c6=210
  
• 10 years agoHelpfull: Yes(2) No(10)
• answer is (n-1)C(r-1)
  i.e. 9C3
• 10 years agoHelpfull: Yes(2) No(0)
• 10-1C4-1=9C3=84 ways.the formula for calculating number of ways of distributing n things among r people when all of them get atleast one thing is= (n-1)C(r-1)
• 10 years agoHelpfull: Yes(1) No(0)
• 10-1 C 4-1 = 168
• 10 years agoHelpfull: Yes(0) No(1)
• n=10,r=4
  10C4=210
• 10 years agoHelpfull: Yes(0) No(1)
• 10 books can ne submitted among 4 BOYS in 10*9*8*7 ways..1st boy gets one book,now the no. of books become 9 and so on..also 10P4
• 10 years agoHelpfull: Yes(0) No(1)