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# How many ways there are to put 5 indistinguishable balls into 3 distinguishable bins

**How many ways there are to put** n **indistinguishable balls into** k **distinguishable bins** ? *|***|** We can view this as permutations of k-1 lines and n **balls** . zxdz 01 setting password; best exhaust cutouts; how to make a haunted house in your.

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A: You have 65 **indistinguishable balls**, and want to **put** them **into 3 distinguishable** urns (x, y, z). Each way of doing so corresponds to one solution. C(67;65) = 67 33 = 2211 Q3: **How many ways** can 8 electrons be assigned to 4. our regular distributing of **indistinguishable balls into distinguishable** boxes. Doing this, after putting 11 freshmen in, **there** are a total of 19+4 1 4 1 = 22 **3** di erent **ways**. Thus, **there** are 22 **3 ways** for this to fail and in order to count the right number.

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Answer (1 of 6): The applicable distribution formula is (n + r-1)C(r-1), where n is the number of **indistinguishable** **balls**, and r is the number of **distinguishable** **bins**. Therefore, the number of **ways** k **indistinguishable** **balls** can be distributed into 2 **distinguishable** **bins** is: (k+2 -1)(C(2 -1) = (.

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able objects **into** k **distinguishable** box es is the same as the number of **w ays** of choosing n objects from a set of k types of objects with repetition allo wed, which is equal to C (k + n " 1,n). Example 11: **Ho w man y w ays** are **there** to place 10 **indistinguishable balls into** 8 **distinguishable bins**?C (8 + 10 " 1,10 ) = C (17 ,10 ) = 17! 10!7. **There** we are, a bit meandering, and I see I didn't.

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thakurmar jhuli bengali story pdf. It can be used to solve **many** simple counting problems, such as **how** **many** **ways** **there** **are** **to** **put** n **indistinguishable** **balls** **into** k **distinguishable** **bins**. [4] Contents. 7) **How** **many** **ways** **are** **there** **to** distribute 12 **indistinguishable** **balls** **into** six **distinguishable** boxes This is the same as asking for the number of **ways** **to** choose 12 **bins** from the six given **bins**, with.

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