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A threee-digit code for certain logs use the digits

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A threee-digit code for certain logs use the digits [#permalink] New post 05 Oct 2008, 01:17
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A threee-digit code for certain logs use 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 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: PS-Permu -combu [#permalink] New post 05 Oct 2008, 01:59
For me Answer is A) = 144

- Fst digit can not be 0 or 1, so remaing digits 8
- 2nd digit can be 0 or 1 , so no of digits 2
- 2nd & 3rd digit can not be both in same code, so what ever is 2nd digit 3rd digit should be different, so 3rd digit to be choose frm 9 digits

8*2*9 = 144
Re: PS-Permu -combu   [#permalink] 05 Oct 2008, 01:59
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A threee-digit code for certain logs use the digits

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