Easier to find the ones that aren't possible, then subtract that from 900 total 3-digit numbers.
Assuming we can use the same number more than once (e.g. 555)
Not possible:
100 140 150 160 170 180 190 => (7)
200 240 250 260 270 280 290 => (7)
300 340 350 360 370 380 390 => (7)
40* 440 450 460 470 480 490 => (16)
50* 540 550 560 570 580 590 => (16)
60* 640 650 660 670 680 690 => (16)
70* 740 750 760 770 780 790 => (16)
80* 840 850 860 870 880 890 => (16)
90* 940 950 960 970 980 990 => (16)
117 not possible
900 - 117 = 783 possible
There are 60 possible numbers for the first number, A, in the combination (1,2,3,...,59,60).For each of outcome of A, there are 60 outcomes for the second number, B, giving a two digit combination 60x60=360 possibilities.For each of these 360 outcomes, there are 60 outcomes for the third number, C, making the number of possible combinations 360x60=21600.Or 60 possibilities x 60 possibilities x 60 possibilities = 21,600 possibilities.
Your only solution - is to go through every possible combination from 0000 to 9999 until you find the correct number !
If you can use the same number twice, such as 11 or 22, then there are 100 possible numbers (00, and 01-99). If you can not use the same number twice, the answer is 90.
In the simplest case, if A is the number of values a single element of a combination can have, and N is the number of elements in the combination, then the number of possible lock combinations is AN. For example: if you have a lock with a 4-digit numerical combination, any combination has 4 elements - the digits. Each digit can have 10 values - 0 through 9. So the total number of lock combinations is 104 or 10000. Another example: if you have the typical rotating combination padlock, a combination consists of three numbers, each of which can be 0-39. So the total number of combination shere is 403 or 64000. The calculation gets more complicated if the same number can't appear twice in the combination. In that case, there are A values for the first element, but only A-1 values for the second, A-2 values for the third, and so on. The formula in this case is A(A-1)(A-2)(...)(A-N+1) which can be written more concisely as A!/(A-N)!. For example: if you have the same rotating combination padlock as above, but know that the numbers in the combination are all different, there are 40*39*38 or 59280 possible combinations.
There are 1,000,000 ways of writing out a six digit number, if you are starting with 000000 and ending with 999999. You are taking the number of possible numbers in the first position (10) and multiplying it by the number of possible numbers in the second position (again, 10), and continuing on till the sixth position. In other words, 10 to the sixth. With 10 representing the number of possible numbers (0 through 9) and six being the number of digits in number code. If it is an alphanumeric code, then you would take the 26 letters plus the 10 numbers to get 36, and take that to the 6th power. Substantially greater.
4 of them. In a combination the order of the numbers does not matter.
There are 60 possible numbers for the first number, A, in the combination (1,2,3,...,59,60).For each of outcome of A, there are 60 outcomes for the second number, B, giving a two digit combination 60x60=360 possibilities.For each of these 360 outcomes, there are 60 outcomes for the third number, C, making the number of possible combinations 360x60=21600.Or 60 possibilities x 60 possibilities x 60 possibilities = 21,600 possibilities.
If the order of the numbers are important, then this is a simple combination problem. There are 10 possible numbers to choose from for the first number. Then there are 9 options for the second number. Then there are 8 options for the third, and so on. Thus, the number of possible combinations can be calculated as 10x9x8x7x6x5. This comes out at 151,200 possible combinations.
Assuming that repeated numbers are allowed, the number of possible combinations is given by 40 * 40 * 40 = 64000.If repeated numbers are not allowed, the number of possible combinations is given by 40 * 39 * 38 = 59280.
Assuming each number can be used more than once.... 2401 possible combinations.
Out of the 42 available numbers, you simply select the 6 numbers that aredrawn and announced as the winning combination. Note that you must makeyour selection before the winning combination is drawn.There are only 5,245,786 different possible combinations.
There are 2^10 = 1024 possible combinations - including the null combination.
every number from 0000 to 9999
Your only solution - is to go through every possible combination from 0000 to 9999 until you find the correct number !
If you can use the same number twice, such as 11 or 22, then there are 100 possible numbers (00, and 01-99). If you can not use the same number twice, the answer is 90.
Including the null combination, there are 2^14 = 16384 combinations.
It's a prime Number, so no whole numbers are factors. Although 1 possible combination is: 2 x 20.5