Binomial coefficient (n choose 0) equals 1

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Theorem

The following formula holds: $${n \choose 0} = 1,$$ where ${n \choose 0}$ denotes the binomial coefficient.

Proof

References

  • {{BookReference|Handbook of mathematical functions|1964|Milton Abramowitz|author2=Irene A. Stegun|prev=Binomial coefficient ((n+1) choose k) equals (n choose k) + (n choose (k-1))|next=}: 3.1.5