A three-digit code for certain locks uses the digits 0, 1, 2, 3, 4, 5 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?	Choose the correct choice from the following options: A) 144 B) 152 C) 160 D) 44 E) 176
The first digit can be filled in 4 ways   For second digit , it can either be 0 or 1   Case 1 -   If second digit is 1 ,Third digit can take 6 values   number of codes = 4 * 1 * 6= 
<gadget id="calculator">4 * 1 * 6</gadget>
<output>24</output>
24   Case 2 -   If second digit is 0,Third digit can take 5 values ( Third digit can't be zero)   number of codes= 4 * 1 * 5= 
<gadget id="calculator">4 * 1 * 5</gadget>
<output>20</output>
20   Total number of codes=44   Answer 44
<result>D</result>
A three-digit code for certain locks uses the digits 0, 1, 2, 3, 4, 5 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?