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

Thread starter abbey gamble
Start date Nov 8, 2006
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Discrete Discrete math

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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.

Nov 8, 2006

abbey gamble

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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Nov 8, 2006

Office_Shredder

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By C(n,1) you mean n choose 1?

Do you know the definition of C(n,k)?

Nov 11, 2006

murshid_islam

C(n,k) = \frac{n!}{k!\left(n-k\right)!}
just use this to calculate C(n,1)

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