Question

The access code for a​ car's security system consists of five digits. the first digit cannot be 1 and the last digit must be even. how many different codes are​ available?

Answer 1

There are 10 single digit numbers that can be used for each digit.

The first digit cannot be 1 , so that leaves 9 other possibilities.

The last digit must be even, so it can be 0, 2, 4,6, 8 ( 5 possibilities).

The 3 middle numbers can be any digit ( 10 numbers)

To find total combinations multiply all the possible numbers for each digit:

9 x 10 x 10 x 10 x 5 = 45,000 possibilities.