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?

Question

Mathematics

Axel Choi

18 July, 06:54

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?

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Amaris · 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