Examples of using Binomial coefficient in English and their translations into Portuguese
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But we did still use the binomial coefficient.
First we need the binomial coefficient, which is going to say what is the number of ways you can choose four out of seven?
Why it involves actually the binomial coefficient at all.
And so hopefully I didn't confuse you, butif I did you can go back to this formula for the binomial coefficient.
Why we actually have the binomial coefficients in there at all.
Where that was what we learned in combinatorics as the binomial coefficient.
So let's write out the binomial coefficient and see if we can do something there.
And then we need to figure out the binomial coefficient.
Arithmetic Properties of Binomial Coefficients I: Binomial coefficients modulo prime powers" PDF.
And then you multiply it times the binomial coefficient.
They are called also binomial coefficients, because they represents coefficients in polynomial binomial. .
And so this is why it's even called the binomial coefficient.
This is the binomial coefficient times the probability that you succeeded k times, which is p to the k times the probability that you failed.
Kind of a faster way to compute the binomial coefficients.
But using just the binomial coefficient, and hopefully you have an intuition of why that works and I would be happy to make more videos if you feel that that you need more explanation.
And this is neat because it calculated the binomial coefficients.
And there are a bunch of these, andwe once again will use the binomial coefficient, or we will use our knowledge of combinations to figure out how many different combinations there are.
And actually, let me write this in terms of a binomial coefficient.
This is called the binomial coefficient and we will do a whole series of modules on that as well because this actually shows up in polynomial expansion when you take polynomials to powers.
So all of these are generailized ways for binomial coefficient.
And that's why it's called a binomial coefficient, because it's actually the coefficient of the binomial theorem.-- Of x to the n minus k-- oh, sorry, I keep writing x.
And then you need to know that you needed the binomial coefficient.
The main focus of this paper is to present an extension of the binomial coefficient called trinomial coefficient, because it describes characteristics similar to the binomial coefficient.
So we're done if we just figure out what these binomial coefficients are.
So I'm just going to express the binomial coefficient expression in Excel.
And then you will also know why-- when we say n choose k in combinations--why that's also called a binomial coefficient.
But if you think about it that way, the binomial coefficient kind of starts to make sense.
The limit as n approaches infinity-- let me write out this binomial coefficient.
Barnes G-function Beta function:Corresponding binomial coefficient analogue.
And once we don't care about the particular order of white and blue,we add the binomial coefficient back in.