29256
There are 17 such numbers.
For the group of 3 digit numbers : Any number from 1-9 can be the 1st digit, any number from 0-9 can be the 2nd digit, the 3rd digit can only be one number that matches the 1st digit. The number of possibilities is thus, 9 x 10 x 1 = 90. For the group of 4 digits : Any number from 1-9 can be the 1st digit, any number from 0-9 can be the second digit, the 3rd digit can only be the one number that matches the 2nd number, and the 4th digit can only be the one number that matches the 1st digit. Number of possibilities is 9 x 10 x 1 x 1 = 90. Giving a total of 180 palindromic numbers between 100 and 10000.
0.6705
12689 14689 12489
The 10000th digit of pi, counting the starting 3 as the 1st digit is 7 but the 10000th digit AFTER the decimal point is 8.
29256
There are 17 such numbers.
1349.
0 - There are no 0s in pi 1 - 2nd digit 2 - 7th digit 3 - 1st digit 4 - 3rd digit 5 - 5th digit 6 - 8th digit 7 - 14th digit 8 - 12th digit 9 - 6th digit
There are 30,240 different 5-digit numbers. Math: 10*9*8*7*6 1st digit has 10 possible choices (0-9) 2nd digit has 9 possible choices (one of the digits was used in the 1st digit) 3rd digit has 8 possible choices 4th digit has 7 possible choices 5th digit has 6 possible choices
Nine million of them.
6210001000
For the group of 3 digit numbers : Any number from 1-9 can be the 1st digit, any number from 0-9 can be the 2nd digit, the 3rd digit can only be one number that matches the 1st digit. The number of possibilities is thus, 9 x 10 x 1 = 90. For the group of 4 digits : Any number from 1-9 can be the 1st digit, any number from 0-9 can be the second digit, the 3rd digit can only be the one number that matches the 2nd number, and the 4th digit can only be the one number that matches the 1st digit. Number of possibilities is 9 x 10 x 1 x 1 = 90. Giving a total of 180 palindromic numbers between 100 and 10000.
Your 10th birthday is your first two-digit birthday. In the same way, your 100th birthday is your first three-digit birthday.
0.6705
2 ÷ 7 = 0.285714285714... ie it repeats the 6 digits: {2, 8, 5, 7, 1, 4}. Therefore taking the digit place modulus 6 will tell you which of these digits occupies that position (if the result of the modulus is 0, the 6th of the list, ie the '4', is the required digit). 1001 mod 6 = 5 → 1001st digit of 2/7 is a '1' (assuming the 1st digit is the 1st digit after the decimal point).