1 .
Consider permutations of the set $\{a,b,c,d,e,f,g\}$ that do not contain $bge$ (in this order).
How many such permutations are there?
How many such permutations are there?
(a)
$7! - 5!$
(b)
$7! - 3!$
(c)
$7! - 6!$
(d)
$7! - 4!$