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
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
Hello, Mel!
The approach is much more primitive.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)?
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:
. . . . $\displaystyle 0123, 1234, 2345, 3456, 4567, 5678, 6789$
And seven numbers with digits in decreasing sequence, their reversals.
Therefore, the probability is: .$\displaystyle \frac{14}{10,\!000} \:=\:\frac{7}{500} $