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Pascal's Triangle and nCr
Theoretical introduction to nCr, or (nr),
Theoretical introduction to nCr, or (nr),
No exercises available for this concept.
Factorials are shortcut used to express decreasing products of integers such as
The definition is
The number of ways to choose r items from a set of n items can be expressed as (nr), nCr or nCr. The number of combinations can be calculated using the formula
Pascal's triangle is a triangular array where each number is the sum of the two directly above it, beautifully revealing the coefficients of binomial expansions. Each term corresponds to a specific value of nCr. Its symmetry and simple construction make it a powerful tool for exploring combinatorial relationships and probability.
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