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Relationship between combination, variation and permutation without repetition

Relationship between combination, variation and permutation without repetition

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considering combinatorics without repetition, the relation states that C = V/P. If P = n! and V = n!/(n-p)!
then how is C = n!/p!(n-p)!? Can you explain why it is not 1/(n-p)! if you substitute the formula for V and P?

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