The access code to a house’s security system consists of eight digits. How many different codes are available if each digit can be repeated? Please show work!

Consider one of eight positions separately from all others. There are 10 possible ways to choose

a digit to place on this position since there are ten digits from 0 to 9, and this choice is

independent of all other positions since each digit can be repeated and there is no restriction on

how to choose digits.

So, we have 8 positions and each one is filled by a digit in 10 ways independently from each other,

therefore the total number of possible codes equals to ways it can be done for each independent

position multiplied altogether. This is 10 × 10 × … × 10 = 108

(100 million).

108 different codes.

Step-by-step explanation:

10cm

step-by-step explanation:

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step-by-step explanation:

a child is 12 years old, and his father is 32 years older. in how many years will the age of the father be 2 times the age of the child?

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this needs to be the answer format, or else your answer is incomplete.

if the number of years is x, then the equation is

in __ years