Question

A=1•2•3•.....•100
B=50•51•52•.....•100
Calculați in câte zerouri se termina fiecare numar:A,respectiv B

Answer 1

$Nr~de~zerouri \ in \ care \ se \ termina \ nr \ A \ este~N_1=[\frac{100}{5}]+[\frac{100}{5^2}]=20+4=24$

$Nr \ de \ zerouri \ in \ care \ se$$\ termina \ nr \ B \ este \ N_2=[\frac{100}{5}]+[\frac{100}{5^2}]-[\frac{49}{5}]-[\frac{49}{5^2}]=20+4-9-1=14$