# SOLUTION: The access code for a car's security system consists of four digits. The first digit cannot be 5 and the last digit must be even or zero. How many different codes are available

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 Click here to see ALL problems on Permutations Question 595797: The access code for a car's security system consists of four digits. The first digit cannot be 5 and the last digit must be even or zero. How many different codes are available?Found 2 solutions by stanbon, jerryguo41:Answer by stanbon(57222)   (Show Source): You can put this solution on YOUR website!The access code for a car's security system consists of four digits. The first digit cannot be 5 and the last digit must be even or zero. How many different codes are available? ------ Pattern: DDDD 1st: 9 ways 2nd: 10 ways 3rd: 10 ways 4th: 5 ways --- Total codes: 9*5*100 = 4500 =============================== Cheers, Stan H. ============== Answer by jerryguo41(162)   (Show Source): You can put this solution on YOUR website!Code: 1st Number: 1, 2, 3, 4, 6, 7, 8, 9, 0 (9 possible combos) 2nd Number: 1, 2, 3, 4, 5, 6, 7, 8, 9, 0 (10 possible combos) 3rd Number: 1, 2, 3, 4, 5, 6, 7, 8, 9, 0 (10 possible combos) 4th Number: 1, 3, 5, 7, 9 (5 possible combos) So to calculate number of codes: Possible numbers of (1st Number*2nd Number*3rd Number*4th Number) There are 4500 different possible combinations