Without repetition, 300. Of these 48 will have a 2 in the units place.
It depends on which place value is given!
Total possible 4-digit numbers= 1000, 1001,...,9999 = 9000 Total with same digit numbers = 1111,2222,...,9999 = 9 9000 - 9 = 8991
3897
256 Each "place holder" if you will, may contain 4 numbers. So it is 4x4x4x4
199998
It depends on which place value is given!
Total possible 4-digit numbers= 1000, 1001,...,9999 = 9000 Total with same digit numbers = 1111,2222,...,9999 = 9 9000 - 9 = 8991
3897
256 Each "place holder" if you will, may contain 4 numbers. So it is 4x4x4x4
To multiply two digit numbers, multiply each place value of a factor by each place value digit and add the results.
The numbers between 4,000 and 10,000 _ _ _ _ 1st place only can filled by 4, 5, and 6 2nd place only can filled by the other 4 digit 3rd place only can filled by the other 3 digit 4th place only can filled by the other 2 digit So: 3 x 4 x 3 x 2 = 72 numbers The numbers greater than 10,000 5 x 4 x 3 x 2 x 1 = 120 numbers The total is 72 + 120 = 192 numbers can formed.
199998
There are a total of 900 3-digt numbers (100 thru 999); Of these there are 9x9x8 = 648 numbers that do not contain repeating digits (first position: 9 possibilities, second place 9 possibilities; the 10 digits minus the one used in the first place. and third place 8 possibilities; 10 digits minus the two used in the first and second places) So, there should be 900-648=252 3-digit numbers with at least one repeating digit.
There is no difference. In both cases, the place value, of any digit, is ten times the place value of the digit to its right.
Greatest: 989949 Least: 100000
there are no 3 digit tis two digit! :) * * * * * 90 of them.
We are to calculate the number of 1-digit to 6-digit numbers (i.e. numbers less than one million) that have at least one 1. Let's divide this into six cases by the number of digits in the number.For one digit numbers, the only number is 1 - 1 such number.For two digit numbers, we can find the number which do not contain a 1 more easily. There are 8 possible digits for the tens place (0 and 1 are not allowed), and 9 digits for the ones place (1 is not allowed). Thus we have 8 * 9 = 72 which do not work. There are 90 two digit numbers, so 90 - 72 = 18 such numbers.For three digit numbers, we will proceed in the same manner. There are 900 total 3 digit numbers, of which 8 * 9 * 9 = 648 numbers which do not contain a 1. The remaining 900 - 648 = 252 numbers contain at least 1 one - 252.For four digit numbers, continuing in the same manner we have 8 * 9 * 9 * 9 = 5832 which are not good out of the 9000 total. So, 9000 - 5832 = 3168.For five digit numbers, we have 8 * 9 * 9 * 9 * 9 = 52488. The remaining 90000 - 52488 = 37512 are good.For six digit numbers, we have 8 * 9 * 9 * 9 * 9 * 9 = 472392. The reamining 900000 - 472392 = 427608 are good.Finally, adding all of the totals, we have 1 + 18 + 252 + 3168 + 37512 + 427608 = 468,559 numbers between 1 and 999999 which contain at least 1 one.