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C(9,0)=9!/9!0!=1

C(9,1)=9!/1!8!=9

C(9,2)=9!/2!7!=36

C(9,3)=9!/3!6!=84

C(9,4)=9!/4!5!=126

C(9,5)=9!/4!5!=126

C(9,6)=9!/3!6!=84

C(9,7)=9!/2!7!=36

C(9,8)=9!/1!8!=9

C(9,9)=9!/9!0!=1

 PASCAL TRIANGLE ROW

1,9,36,84,126,126,84,36,9,1

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admin asked Apr 30, 2020
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Show that if $n$ and $k$ are integers with $1 \leq k \leq n,$ then $\binom{n}{k} \leq \frac{n^{k}}{2^{k−1}}.$