Factor the demoniator:-
x^2 -2x - 24 = (x - 6)(x + 4)
the asymptotes occurs when denominator = 0
so here they are the vertical lines x = 6 and x = -4
There are six digits. The first can be anything but 0. There are 9 other choices.
Are repetitions allowed? Is 999999 permitted.
Repetitions allowed.
9 * 10 * 10 * 10 * 10 * 5 The last digit must be odd.
450,000 <<<< answer.
No repetitions
Sorry this requires more thought.
The height of an interior residential door is about 7 ft.
Doors on commercial buildings or upscale residences may be taller. The usual width is about 3 ft.
_____
My front door measures 6 2/3 ft high by about 3 ft wide. My bedroom doors are 2 1/2 ft wide. The minimum for ADA-compliant doors is 2 2/3 ft.