The access code to a houses security system consists of 6 digits. How many different codes are available if each digit can be repeated? Please show work.

Respuesta :

Answer:

1,000,000

Step-by-step explanation: Since there are 10 possible digits, we know that there is a 1/10 chance for any possible digit in any slot. So, since there are 6 slots we can do 1/10^6, or 1 in 1 million.

So, 720 ways are available if each digit can be repeated

Combination:

A combination is a mathematical technique that determines the number of possible arrangements in a collection of items where the order of the selection does not matter. In combinations, you can select the items in any order.

The access code to a house security system consists of 6 digits.

[tex]6!=6\times 5 \times 4\times 3\times 2\times 1\\6!=720[/tex]

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