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```        please explain me multinomial theorem with example. i am not getting this. clarify each and every step
```
7 years ago

SAGAR SINGH - IIT DELHI
879 Points
```										Dear student,

Multinomial theorem means nothing but how to write down a power of a sum in conditions of powers of the terms in that sum.

Multinomial theorem is nothing but rule of a sum in term of rules of the addends.

Multinomial  theorem is also called a polynomial theorem. This multinomial is the  simplification of the binomial theorem to polynomials.

Multinomial Theorem Examples:
For example, (a + b + c) 3= a3 + b3 + c3 + 3a2b + 3a2c + 3b2a + 3b2c + 3c2a + 3c2b + 6abc.
Now we calculated each coefficient by first expanding (a + b + c) 2 = a2 + b2 + c2 + 2ab + 2bc + 2ac, then self-multiplying it again to get (a + b + c) 3.
On the supplementary this is sluggish process, and can be avoided by  means of the multinomial theorem. It solves this method by giving us the  closed form for any coefficient we might want.
It is possible to the multinomial coefficients from the conditions by  using the multinomial coefficient formula.
Multinomial theorem is nothing but expression sum in term of terms of  the addends.  Multinomial theorem is also known as polynomial theorem.  This multinomial is the simplification of the binomial theorem to  polynomials.
A multinomial allocation is the option sharing of the outcome from a  multinomial experiment. The multinomial method defines the chance of any  result from a multinomial experiment.

All the best.
Win exciting gifts by                                                  answering the questions    on            Discussion        Forum.    So      help          discuss         any                query   on        askiitians  forum    and         become  an       Elite            Expert    League              askiitian.

Sagar Singh
B.Tech, IIT Delhi
sagarsingh24.iitd@gmail.com

```
7 years ago
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