Question

1.how many whole numbers less than a million can you make with the digits 8 and 9?

2. how many whole numbers less than a million can you make with the digits 8,9 and 0?

Answer 1

To create whole numbers less than a million using the digits 8 and 9, consider the possible combinations of these digits. The total number is 64.

Step-by-step explanation:

To create a whole number less than a million using the digits 8 and 9, we need to consider the possible combinations of these digits. Since the digits are not repetitive and can only be used once, we can use the following approach:

1. For a number with 1 digit, there are 2 options (8 or 9).
2. For a number with 2 digits, there are 2 options for the first digit (8 or 9) and 1 option for the second digit (the remaining digit).
3. For a number with 3 digits, there are 2 options for the first digit, 1 option for the second digit, and 1 option for the third digit.
4. For a number with 4 digits, there are 2 options for the first digit, 1 option for the second digit, 1 option for the third digit, and 1 option for the fourth digit.
5. Following this pattern, we can continue up to a number with 6 digits.

Therefore, the total number of whole numbers less than a million that can be created using the digits 8 and 9 is:

2 + 2 x 1 + 2 x 1 x 1 + 2 x 1 x 1 x 1 + 2 x 1 x 1 x 1 x 1 + 2 x 1 x 1 x 1 x 1 x 1 = 64