Question

in cate zerouri se termina produsul 1*2*3*4*5*...*34*35?

Answer 1

$P=1*2*3*...*34*35 \\\\ Nr. \ zerouri= [\frac{35}{5}]+[\frac{35}{5^2}]+ [\frac{35}{5^3}]+.... \\\\ Nr. \ zerouri=[\frac{35}{5}]+[\frac{35}{25}]+[\frac{35}{125}]+... \\\\ Nr= 7+1+0+....... \\\\\\ \boxed{P \ \ are \ 8 \ zerouri}$