General Triangle:
The Symmetrical Pattern:
5C1 = 5C4
Justification: by symmetry choosing 1 out is choosing 4 in
Generalization: nCr = nCn-1
The Recursive Pattern:
5C3 = 4C2 + 4C3
Justification: add above 2 terms
Generalization: nCr = n-1Cr-1 + n-1Cr
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