There are \(n\) types of **different** articles.
The names of the types are - \(A_1,A_2,A_3,...,A_n\)
Number of article \(A_1\) is \(N_1\) , \(A_2\) is \(B_2\)... same goes upto \(A_n\).
We have to **choose** k articles.Repetition is allowed.

**different** articles.
The names of the types are - \(A_1,A_2,A_3,...,A_n\)
Number of article \(A_1\) is \(N_1\) , \(A_2\) is \(B_2\)... same goes upto \(A_n\).
We have to **choose** k articles.Repetition is allowed.

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TopNewestCan't understand – Dilip Kumar · 4 years, 6 months ago

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That having been said, we can apply the Multinomial Theorem to find the answer. A question based on this Theorem is posted here. https://brilliant.org/discussions/thread/integer-partitions/ – Rohan Rao · 4 years, 6 months ago

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– Soham Chanda · 4 years, 6 months ago

Can you show the steps?Log in to reply

This link has a specific case of the question you have asked. In this case, when you have to create a limited length word, you cannot use the Mississippi formula. On Yahoo Answers, the asker says that the Mississippi formula does not work. The answer given will not be easy to derive for a specific case. The Multinomial Theorem works better there. I will upload a detailed solution soon. – Rohan Rao · 4 years, 6 months ago

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– Soham Chanda · 4 years, 6 months ago

I know that process but that's SO tedious.Wanted a generalization.Log in to reply

– Rohan Rao · 4 years, 6 months ago

It is easier to choose the k objects, as required in this question you posted, than it is to permute the objects, as you would have to do for the Yahoo Answers case. With respect to your question, I have a Multinomial Theorem answer, but it is too long to type out. If only I could upload a picture...Log in to reply

– Soham Chanda · 4 years, 6 months ago

you can start a new discussion where you can upload the picture..i'd really appreciate itLog in to reply

discussion at – Rohan Rao · 4 years, 6 months ago

Sure, will create one now. // Created a newLog in to reply