The access code to a house security system consists if 6 digits. How many different codes are available if each digit can be repeated?
If each digit can be repeated, there are 10 possibilities for each digit (0, 1, 2, 3, 4, 5, 6, 7, 8, 9). Since there are 6 digits in total, the number of different codes available can be calculated by raising 10 to the power of 6:
10^6 = 1,000,000
Therefore, there are one million different codes available if each digit can be repeated.
To calculate the number of different codes available for a 6-digit security system where each digit can be repeated, we need to consider the number of choices for each digit.
Since each digit can be any number from 0 to 9 (assuming it's a decimal system), there are 10 possible choices for each digit.
Since we have 6 digits in total, the total number of different codes available can be calculated by multiplying the number of choices for each digit together:
10 choices × 10 choices × 10 choices × 10 choices × 10 choices × 10 choices = 10^6 = 1,000,000
Therefore, there are 1,000,000 different codes available for a 6-digit security system where each digit can be repeated.