A manufacturer of chocolates makes 6 different flavors of chocolates. The chocolates are sold in boxes of 10. How many different boxes of chocolates can be made?
(NOTE: A box is considered different from another only if, regardless of the order, the box contains a different number of chocolates of at least one type)
A. 3003
B. 10^6
C. 3000
D. 6^10

• f n similar articles are to be distributed to r persons, x1+x2+x3......xr=n each person is eligible to take any number of articles then the total ways are n+r−1Cr−1
  In this case x1+x2+x3......x6=10
  in such a case the formula for non negative integral solutions is n+r−1Cr−1
  Here n =10 and r=6. So total ways are 10+6−1C6−1 = 3003
• 11 years agoHelpfull: Yes(23) No(8)
• (n+r-1) C (r-1)
  here n=10;r=6
  => (10+6-1)C(6-1)
  => 15 C 5
  => (15*14*13*12*11)/(5*4*3*2*1)
  => 3003
• 10 years agoHelpfull: Yes(18) No(3)
• 10^ 6 by permitation rule
• 11 years agoHelpfull: Yes(5) No(23)
• @ankita
  how 10^6
  plz explain
• 11 years agoHelpfull: Yes(3) No(6)
• anybody plz give its solutions
• 11 years agoHelpfull: Yes(2) No(10)
• 6^10 sir we are concerned about chocolate boxes..not favours.
  1st box can contain 6 flavours ,2nd box can contain 6 flavours , .....so 6^10
  And people please dont copy and paste solution from other sites.Its very confusing for the new learners when the answers given here are not correct ones.
• 8 years agoHelpfull: Yes(2) No(3)
• (n+r-1) C (r-1)
  here n=10;r=6
  => (10+6-1)C(6-1)
  => 15 C 5
  => (15*14*13*12*11)/(5*4*3*2*1)
  => 3003
• 5 years agoHelpfull: Yes(2) No(1)
• Are u both sure its 10^6 ankita n gargi
• 11 years agoHelpfull: Yes(1) No(6)
• plz explain how u get that anwer 10^6
  
• 9 years agoHelpfull: Yes(0) No(1)
• Why is r=6? Please explain.
• 9 years agoHelpfull: Yes(0) No(1)
• 15!/(10!*5!)=3003
• 9 years agoHelpfull: Yes(0) No(0)