Given the number 123456789. Find a permutation of the number's digits such, that the left most digit is evenly divisible by 1, the two left most digits are evenly divisible by 2, the three left most digits are divisibly by 3 and so on?
381654729 381654729 / 9 = 42406081 38165472 / 8 = 4770684 3816547 / 7 = 545221 381654 / 6 = 63609 38165 / 5 = 7633 3816 / 4 = 954 381 / 3 = 127 38 / 2 = 19 3 / 1 = 3
How many 3-digit numbers can be formed from the digits 2, 3, 5, 6, 7 and 0, which are divisible by 5 and none of the digits is repeated?
Using the digits 1, 2, 3 and 4, find the number of 10-digit sequences that can be written so that the difference between any two consecutive digits is 1.
Examples of such 10-digit sequences are ********** and **********.
