Posted by **alejandro** on Monday, August 5, 2013 at 2:00pm.

A security code used to consist of two odd digits, followed by four even digits. To allow more codes to be generated, a new system uses two even digits, followed by any three digits. If repeated digits are allowed, the increase in the number of possible codes is____

Answer: Old code: 5x5x5x5x5x5=15325

New code: 5x5x10x10x10=25000

The increase in the number of codes is 9375.

I don't understand why they use 5's and 10's!!!Please somebody can explain me this!!!

- math30 -
**Reiny**, Monday, August 5, 2013 at 3:10pm
how many **even** digits are there from 0 - 9 ??

there are 5

how many digits are there from 0 to 9 ?

there are 10

so you have 5 choices as the first digit, 5 choices again for the second digit, 10 choices for the 3rd digit, etc

- math30 -
**alejandro**, Monday, August 5, 2013 at 3:31pm
Thanks, but what about the odd number?

- math30 -
**Steve**, Monday, August 5, 2013 at 4:07pm
let's see. You know there are 10 digits

You know there are 5 even digits.

asking now how many odd digits there are is the same as holding out both hands, and when someone says, "This one is your left hand," you ask, well, which one is my right hand?

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