Find  a 10 digit number whose 1st digit indicates the number of 1's in the number,..?
613818
0123456789\n6210001000\n\nHere you can see there are 6 zeros, 2 ones, 1 two, and 1 six.\n\nI suppose you were looking for something more like this though.\n1234567890\n2100010006\n\nFor those of you with the 1000.0008 solution, where is the 1 8?  I suspect that solution is incorrect.
342459
Since there are seven ones, it will count up to 7 and then back down - 1234567654321.\n\n 1111111\nx1111111\n-------------\n0000001111111\n0000011111110\n0000111111100\n0001111111000\n0011111110000\n0111111100000\n1111111000000\n-------------\n1234567654321
1081387
here is one\n024331\nassuming that the 2&3 numbers are the only evens\nassuming only one one\nassuming  2&3 numbers are not same numbers\nassuming only one set of repeating numbers\nalso 024551, 024771, 024991, 026331, 026551, 026771, 026991, 028331, 028551, 028771, 028991, 042331, 042551, 042771, 042991, 046331, 046551, 046771, 046991, and so on.
1184383
put the number of the decimal over a 1 with the number of digits in the decimal number following it\n\nExamples\n0.1 = 1/10\n0.11 = 11/100\n.123 = 123/1000
1028369
do a reverse number look up
653946
1 4\n2 15\n4 2\n5 100\n6 3\n7 15\n8 10\n9 10\n10 33\n11 -45\n12 2\n13 500\n14 5\n15 200
838732
000000 to 999999 --> 1 million combinations\n\n10 choices for the first digit\n10 choices for the second digit\n10 choices for the third digit\n10 choices for the fourth digit\n10 choices for the fifth digit\n10 choices for the sixth digit\n\n10 x 10 x 10 x 10 x 10 x 10 = 1 million\n\nHowever, if you disallow 0 as a starting digit then you have the following:\n\n*9* choices for the first digit (1-9)\n10 choices for the second digit (0-9)\n10 choices for the third digit (0-9)\n10 choices for the fourth digit (0-9)\n10 choices for the fifth digit (0-9)\n10 choices for the sixth digit (0-9)\n\n9 x 10 x 10 x 10 x 10 x 10 = 900,000
415435
nope... 01 (in binary) = 1 (in decimal)\n\nand \n\n10 (on binary) = 2 (in decimal)
1169470
792\n\n1 thru 9 = 9 digits\n10 thru 99 = 180 digits (90 numbers with 2 digits each)\n100 thru 300 = 603 digits (201 numbers with 3 digits each)\nTOTAL = 792
9961
0,1,1,2,3\n\nto get the next number add the previous 2 numbers
604518
umm\n1\n2\n3\n4\n5\n6\n7\n8\n9\n10\n11\n12\n13\n14\n15\n16\n17\n18\n19\n20\n21\n22\n23\n24\n25\n26\n27\n28\n29\n30\n31\n32\n33\n34\n35\n36\n37\n38\n39\n40\n41\n42\n43\n44\n45\n46\n47\n48\n49\n50\nhummmmmmmm bet one of thoes numbers it is
817139
10 digits ^ 3 dials = 10 * 10 * 10 = 1000 possibilities\n\n~ ♥ ~
848063
488,895\n\nWrite every number as a six digit number with leading 0's if necessary.  i.e, 1 becomes 000001, 10 becomes 000010, etc.\nAlso, write 1,000,000 itself as 000000.  (We don't change anything by doing this.) We will subtract out the leading 0's later.\n\nTherefore, there are 1,000,000 6-digit numbers.  Each digit occurs just as many times as any other, so so far there are:\n1,000,000 * 6 / 10 or 600,000 zeros.\nNow subtract out all the leading zeroes.\n\nEvery 1-digit number has 5 too many.  There are 9 of these, so 5*9 = 45 too many zeroes.\nEvery 2-digit number has 4 too many.  There are 90 of these, so 4 * 90 = 360 too many zeroes.\nContinuing this way, there are another 3*900 = 2700 , 2 * 9000 = 18000 and 1 * 90000 = 90000 too many zeroes.\n\nThis leaves 600,000 - 45 - 360 - 2700 - 18000 - 90000\n= 488,895 zeros in total.
860441
I'm going to start by assuming that numbers starting with 0, other than zero itself, don't count.  Normally, since there are two choices for any individual digit, the number of numbers possible for any number of digits (d) is 2^d.\n\nHowever, since 0 can't be the starting digit for any but the one-digit numbers, your choices are cut in half, which would be 2^(d-1).\n\nThus, your answer would be the sum of:\n2 + 2^1 + 2^2 +...+ 2^9\n\nInterestingly enough, you'll notice that this answer ends up being 2^10.
1185451
Its the numbers 0 through 10 in alphabetical order.
268949
It's just like the decimal system, only based on the number 2 instead of the number 10..........\n\n1  10  100  1000  10000  100000  1000000  etc... - Decimal\n\n1  2  4  8  16  32  64  128  256  512  1024  etc.. - Binary
1110740
I -1 digit\nLOVE - 4 digits\nYOU - 3 digits