the access code for a warehouses security system consist of

the access code for a warehouse\'s security system consist of six digits. the first digit cannot be 0 and the last digit must be even. how many access codes are posible?

Solution

We have 0 to 9 numbers.There are total 10.

The first one can not be 0, so we have 9 choices for the first.

Assuming repetition is allowed, we then have 10 choices for the second, 10 for the third and

So on. The last number has to be even, so there are 5 choices( 0,2,4,6,8).

Even Numbers

Any integer that can be divided exactly by 2.

The last digit is 0, 2, 4, 6 or 8

Possible numbers of (1st Number*2nd Number*3rd Number*4th Number* 5th number*6th Number)

=>   9x10x10x10x10x5

=>450,000

There are 450,000 different possible combinations.