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(a) In how many ways can you distribute 4 distinguishable balls among 6 indistinguishable boxes?

 

(b) In how many ways can you distribute 4 indistinguishable balls among 5 distinguishable boxes?

 Jan 8, 2023
 #1
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(a) There are 44 ways.

 

(b) There are 210 ways.

 Jan 8, 2023
 #2
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a -  listfor(k, 0, 6, (4 nCr k))==(1, 4, 6, 4, 1, 0, 0)==16 ways - without restrictions.

 

b - [x + n - 1] C [n]==[5 + 4 - 1] C 4 ==70 ways - without restriction

 Jan 8, 2023

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