Understanding C(n,1) in Discrete Math: Solving the Mystery of C(n,1) = 1

AI Thread Summary
C(n,1) represents the number of ways to choose 1 item from n items, which is calculated using the formula C(n,k) = n! / (k!(n-k)!). For C(n,1), this simplifies to C(n,1) = n! / (1!(n-1)!) = n. Therefore, C(n,1) equals n, confirming that there are n ways to choose one item from a set of n. The discussion clarifies the calculation and definition of combinations, emphasizing the straightforward nature of C(n,1). Understanding this concept is essential in discrete mathematics.
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C(n,1) ...

I know that C(n,0) =1

But have no clue how to figure out C(n,1) :cry:
 
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By C(n,1) you mean n choose 1?

Do you know the definition of C(n,k)?
 
C(n,k) = \frac{n!}{k!\left(n-k\right)!}
just use this to calculate C(n,1)
 

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