1 . Consider strings of length $92$, in which each character is one of the characters $a,b,c,d,e$. How many such strings have exactly $20$ letters $e$?
(a)
$\binom{92}{5}\cdot 5^{72}$
(b)
$\binom{92}{5}\cdot 4^{72}$
(c)
$\binom{92}{20}\cdot 5^{72}$
(d)
$5^{20}\cdot 4^{72}$
(e)
$\binom{92}{20}\cdot 4^{72}$