Crack The 10-Digit Password.
The clues are:
a) All digits from 0 to 9 are used exactly once.
b) No digit is the same as the position which it occupies in the sequence.
c) The sum of the 5th and 10th digits is a square number other than 9.
d) The sum of the 9th and 10th digits is a cube.
e) The 2nd digit is an even number.
f) Zero is in the 3rd position.
g) The sum of the 4th, 6th and 8th digits is a single digit number.
h) The sum of the 2nd and 5th digits is a triangle number.(There are 13 triangular numbers in the first 100 numbers. These are 1, 3, 6, 10, 15, 21, 28, 36, 45, 55, 66, 78, 91.)
i) Number 8 is 2 spaces away from the number 9 (one in between).
j) The number 3 is next to the 9 but not the zero.