The digits 2, 4, 6, 8 and 0 are used to make five-digit numbers, with no digit repeated. What is the probability that a number chosen at random from these numbers has the property that the digits in the thousand's place and the ten's place are each larger than their neighboring digits?
I know some already answered this however in my multiple choice I have these options.
a) 5/48
b) 11/96
c) 1/8
d) 13/96
e) 7/48