9 x 9 x 8 x 7 x 6 x 5. For the first digit you have 9 options (since it won't start with a zero), for the second number you have 9 options (since one digit is already used), for the third you have 8 options (since two digits have already beenused), etc.
There are 4 possible numbers if the digits are not repeated; 18 if they are. Those are 3-digit numbers, assuming that zero would not be a leading digit. If zero is allowed for a leading digit, then you can have 6 for the non repeated, and 27 if repetition.
There are 5! = 120 such numbers.
9 x 9 x 8 x 7 = 4,536
738 numbers
There are 5760 such numbers.
9x9x8x7x6x5 = 81x56x30 = 136080
A lot. And there is akways the code. 1234
Using the digits of 1345678, there are 210 three digit numbers in which no digit is repeated.
There are 27 of them.
It is possible to create a 3-digit number, without repeated digits so the probability is 1.
If the digits may not be repeated, there are 6x5x4x3x2x1 = 720 numbers, If digits can be repeated, the answer is 6x6x6x6x6x6 = 46,656 numbers If zero is ong the available digits but is excluded from the first place. 5x6x6x6x6x6=38,880 numbers
5 digit telephone numbers having at least one of their digits repeated is = total possible 5 digit telephone numbers - 5 digit telephone numbers without any digit being repeated. =(10*10*10*10*10)-(10*9*8*7*6) =100000-30240 =69760
757
625 if numbers can have leading 0s, 500 otherwise.
720 (10*9*8)
There are 4 possible numbers if the digits are not repeated; 18 if they are. Those are 3-digit numbers, assuming that zero would not be a leading digit. If zero is allowed for a leading digit, then you can have 6 for the non repeated, and 27 if repetition.
823543