How many 12-bit strings (that is, bit strings of length 12) are there which: a. Start with the sub-string 011? 249 b. Have weight 8 (1.e., contain exactly 8 1's) and start with the sub-string 011? c. Either start with 011 or end with 01 (or both)? 2^9+2^10- d. Have weight 8 and either start with 011 or end with 01 (or both)?

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