Question

he access code for a​ car's security system consists of five digits. The first digit cannot be 2 and the last digit must be odd. How many different codes are​ available? he access code for a​ car's security system consists of five digits. The first digit cannot be 2 and the last digit must be odd. How many different codes are​ available?

Answer 1

using numbers 0-9 ( 10 numbers for each digit)
1st digit can't be 2 so it can be 10-1 = 9 other digits
2nd, 3rd and 4th digits can be 1 of 10 digits each

5th digit must be odd do it can be 1, 3, 5, 7, 9 ( 1 of 5 digits)

so number of different codes would be 9 x 10 x 10 x 10 x 5 = 45,000 different codes