compute the number of distinct ways in which 56 toffees can be distributed to Amit, Badri, Chetan, Duti, Erwin so that no person receives less than 10 toffees

a 10c6
b 10c5

• No person should get less than 10 toffees.
  so 50 toffees are distributed equally.
  rest 6 toffes are to be distributed among 5 .
  n=6(toffes) r=5(person)
  (n+r-1)C(r-1)=(6+5-1)C(5-1)=(10)C(4)=(10)C(6)
• 11 years agoHelpfull: Yes(56) No(1)
• nCr = selection of n distinct object r at a time.
  But here 6 toffees identical. so we use (n+r-1 C r-1).
  Here n=6,r=5
  6+5-1 C 5-1 = 10 C 4 = 10 C 4
  ans= a.10 c 6
• 9 years agoHelpfull: Yes(4) No(0)
• No person should get less than 10 toffees.
  so 50 toffees are distributed equally.
  Rest 6 toffees are to be distributed .
  To distribute 6 toffes (r), among 5 persons(n)
  (n+r-1)C(r-1)=10C5 ways
• 11 years agoHelpfull: Yes(3) No(32)
• Each person should get atleast 10 toffees. So, 50 toffees are distributed equally among 5 people i.e 10 toffees to each person. 6 toffees are left now.
  Number of ways of distributing n identical things among r persons when each person may get any
  number of things = (n + r – 1) C (r–1)
  Therefore, 6 identical toffees are distributed among 5 people i.e n=6 and r=5.
  => (n + r – 1) C (r–1)
  => (6+5-1) C (5-1)
  = 10 C 6
• 7 years agoHelpfull: Yes(2) No(0)
• 6c5.....as 6 toffees are to be distributed among 5 persons. please correct me if i am wrong :)
• 9 years agoHelpfull: Yes(0) No(12)