Question

How many 6 digit numbers are formed with the digits 0,1,2,3,4,5,6,7 ?

Answer 1

To determine how many six-digit numbers can be formed using the digits 0, 1, 2, 3, 4, 5, 6, and 7, we need to consider the number of choices for each digit position.

For the first digit position (leftmost), we have 7 choices (excluding 0 since a six-digit number cannot start with 0).

For the remaining five digit positions (from left to right), we have 8 choices (including 0) since all digits are available.

Therefore, the total number of six-digit numbers that can be formed is obtained by multiplying the number of choices for each digit position:

Total number of six-digit numbers = 7 * 8 * 8 * 8 * 8 * 8 = 7 * 8^5 = 7 * 32768 = 229,376

Hence, there are 229,376 six-digit numbers that can be formed using the digits 0, 1, 2, 3, 4, 5, 6, and 7.