Meaning of notation with two letters inside of parentheses [binomial coefficient]
1,376
Solution 1
$n\choose{k}$ is a 'binomial coefficient'. Sometimes read '$n$ choose $k$. It represents the number of ways of choosing $k$ items from $n$ distinct items where the order of choice is unimportant.
The value is ${{n}\choose {k}}=\frac{n!}{k!(n-k)!}$
$n$ and $k$ are nonnegative integers with $k\le n$.
Solution 2
Binomial coefficients. Relevant here is that:
$\begin{align} \sum_{0 \le k \le n} \binom{n}{k} a^k b^{n - k} = (a + b)^n \end{align}$
Author by
Giteshwar Mali
Updated on August 01, 2022Comments
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Giteshwar Mali over 1 year
What does the notation in the red box mean?
$$\Huge e^{\displaystyle \large \sum_{k=0}^n \bbox[2px,border:2px solid red]{\color{black} { {n \choose k}}}~\omega^k}$$
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Will R over 7 yearsAnd so the exponent in the question is $(1+\omega)^{n}.$