|
||||||||||||
|
||||||||||||
| ||||||||||||
Hi Swathi, Suppose the 3 is in the leftmost place, that is 3 is the thousandth digit. You now have 9 choices for the hundredth digit, 0, 1, 2, 4, 5, 6, 7, 8 or 9. You also have 9 choices for the tens digit and for the units digit and thus if 3 is the thousandths digit you can form $9 \times 9 \times 9 = 9^3$ numbers. Now suppose that 3 is the hundredths digit. How many choices do you have for the thousandths digit? Well is depends. Is 03456 a 4 digit number? If so you have 9 choices for the thousandths digit, if not you only have 8 choices. Can you complete the problem from here? | ||||||||||||
|
||||||||||||
Math Central is supported by the University of Regina and The Pacific Institute for the Mathematical Sciences. |