1. ## Probability 2

You are issued a standard North Carolina license plate. What is the probability that the four digits are in sequence, either forward (such as 2345) or backward (such as 7654)?

Could the answer be" 10 x 9 x 8 x 7 = 5,040

2. Hello, Mel!

You are issued a standard North Carolina license plate.
What is the probability that the four digits are in sequence,
either forward (such as 2345) or backward (such as 7654)?
The approach is much more primitive.

Assuming that any of the digit 0 to 9 can be used,
. . the numbers range from 0000 to 9999 . . . 10,000 possible numbers.

There are only seven numbers with digits in increasing sequence:
. . . . $0123, 1234, 2345, 3456, 4567, 5678, 6789$

And seven numbers with digits in decreasing sequence, their reversals.

Therefore, the probability is: . $\frac{14}{10,\!000} \:=\:\frac{7}{500}$