Question

sa se determine valorile naturale ale numarului ..n..astfel incat C de n luate cate 0+C de n luate cate 1 =8 

Answer 1

$C_{n} ^{0} =1; C_{n} ^{1} = \frac{n!}{1!(n-1)!} = \frac{(n-1)!n}{(n-1)!}=n; C_{n} ^{0}+C_{n} ^{1}=n+1=8; n=7$