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Message: [QUOTE="dsvw56, post: 988341, member: 40873"] You're right, I f'ed up and typed 783 instead of 738 in to the calculator, anways, here's how I did it. Well there's 738 integers with distinct digits, I'll break it down in to groups by number of digits One Digit : 9 (1-9 ldo) Two Digits : Can be found by 9*9, since the first can be any number 1-9 and the second any number 0-9 that isnt the first. Three Digit : Same as before, 9*9*8, since now the third digit can be any number 0-9 that isnt the same as the first two. So you get : 9+81+648 = 738 Now it's easier to use the same process to find the odd ones and subtract from that answer. So : One Digit : 5 (1,3,5,7,9) Two Digit : 8*5 (second digit has to be odd, first one can only be 1-9 that isnt the same as the second) Three Digit : 8*8*5 (same concept as two digit) so you get : 5+40+320 = 365 odd distinct digit integers so 738 - 365 = 373 even distinct digit integers [/QUOTE]