In how many ways can we distribute 10 identical looking pencils to 4 students so that each student gets at least one pencil?
A. 5040
B. 210
C. 84
D. None of these

• first we distribute 4 pencils each 1 to 4 students. remaining pencils are 6. then ways of distributions are (n+r-1)C(r-1) here n=6 & r=4
  hence 9C3=84
  
• 10 years agoHelpfull: Yes(28) No(2)
• Ans is:84
  number of ways in which n identical objects can be divided into r groups
  (n-1)c(r-1)
  n=10,r=4
  (10-1)c(3)=504/6=84
  
• 9 years agoHelpfull: Yes(9) No(0)
• A]becoz 5040 as all are identical so permutation ie...10*9*8*7=5040
• 10 years agoHelpfull: Yes(4) No(1)
• the correct formula is:-(n-1)c(r-1) i.e 9c3=84
• 10 years agoHelpfull: Yes(2) No(0)
• is it 10c4 ways ??? i.e 210 ways
• 10 years agoHelpfull: Yes(1) No(1)
• For any pair of positive integers n and k, the number of distinct k-tuples of positive integers whose sum is n is given by the binomial coefficient {(n - 1)C( k-1)}.
  9C3 = 84
  
• 9 years agoHelpfull: Yes(1) No(0)
• For these type of identical items problems follow the rules
  number of ways in which n identical objects can be divided into r groups
  (n-1)c(r-1)
  In this particular question n=10,r=4
  so (10-1)c(3)=504/6=84
  
• 9 years agoHelpfull: Yes(1) No(0)
• please tell me which is the correct answer??
• 9 years agoHelpfull: Yes(0) No(0)
• ans will be 5040
  
• 9 years agoHelpfull: Yes(0) No(0)
• d using formula n+r-1Cr-1=n+r-1Cn-r-1=205920
  
• 9 years agoHelpfull: Yes(0) No(0)
• Since the question is asking to find ways in which the pencil can be distributed thus we use factorial that is 10! = 10(10-1)(10-2)(10-3) = 5040
  
  Hence 5040 ways is the answer
• 9 years agoHelpfull: Yes(0) No(0)
• 10 identical pencils will be distributed among 4 students
  So it should be (n-1)C(r-1)
  Therefore, 9C3=84
• 9 years agoHelpfull: Yes(0) No(0)
• 10 * 9 * 8 *7 (four spaces )=5040 . (As everybody should get 1 pencil and all pencils look similar .)
• 9 years agoHelpfull: Yes(0) No(1)