Answer
a) 2134
b) 54132
c) 12534
d) 45312
e) 6714253
f) 31542678
Work Step by Step
We will find the last pair of integers $Z_{i}$, $Z_{i+1}$ such that $Z_{i}$ $\lt$ $Z_{i+1}$ . Then we find the least integer to the right of $Z_{i}$ and replace $Z_{i}$ with that number. The remaining permutation will then be arranged in order.
For 1432, the pair is 1,2
We determine the next larger permutation
We move the largest selected digit to the position of the other selected digit of the given permutation so it becomes 2 _ _ _
and we fill the blanks with the remaining digits (1,3,4) from smallest to largest
Hence we get 2134
Similarly, we do it for all other cases.
a) 2134
b) 54132
c) 12534
d) 45312
e) 6714253
f) 31542678
