The access code for a cars security system consists of four digits?
the access code for a cars 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 avaliable?
can anybody help me with this problem?
4 digits implies 0000 to 9999
-that’s 10,000 possibilities
But the first digit cannot be 5, so 5000 – 5999 are out.
That leaves 9,000 possibilities.
The requirement for the last digit to be 0 2 4 6 8 (not 1 3 5 7 9) halves the possibilities again.
So I think the answer is 4,500<<<<
9X10X10X5 = 4,500
9 * 10 * 10 * 5 = 4500
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Here we have,
5 x x 0 = 100 codes
5 x x 2 = 100 codes
5 x x 4 = 100 codes
5 x x 8 = 100 codes
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Total Codes = 400 CODES >==============< ANSWER
0-10=10 digits that can be used
(9)(10)(10)(6)=5400 ways
9*10*10*5 = 4500