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I have 8 identical pieces of cherry candy and 7 identical pieces of melon candy. Find the number of ways I can distribute this candy to 4 children.

 Mar 20, 2020
 #1
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With no restrictions, 8 identical Cherry candy can be distibuted in:

 

[8 + 4 - 1] C [4 - 1] =11 C 3 = 165 ways

 

With no restrictions, 7 identical Melon candy can be distributed in:

 

[7 + 4 - 1] C [4 - 1] =10 C 3 =120 ways

 

165 + 120 =285 ways.

 Mar 20, 2020
 #2
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Isnt' this supposed to be 165*120=19800?

 Mar 27, 2020

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