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A three-digit code for certain logs uses the digits 0, 1, 2,

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A three-digit code for certain logs uses the digits 0, 1, 2, [#permalink] New post 14 Nov 2008, 15:57
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A three-digit code for certain logs uses the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 according to the following constraints. The first digit cannot be 0 or 1, the second digit must be 0 or 1, and the second and third digits cannot both be 0 in the same code. How many different codes are possible?

A. 144
B. 152
C. 160
D. 168
E. 176
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Re: code--26 [#permalink] New post 14 Nov 2008, 16:16
will divide this counting into two part

1) 2nd digit is zero

1st place = 8
2nd place= 1
3rd place = 9
total =8X1X9=72

2) 2nd digit is one

1st place = 8
2nd place= 1
3rd place=10
total=8X1X10=80

grand total=152
Re: code--26   [#permalink] 14 Nov 2008, 16:16
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A three-digit code for certain logs uses the digits 0, 1, 2,

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