Question: How many 9 - bit binary strings are there subject to each of the following restrictions? No restrictions. The string starts with 0 0 1

How many 9-bit binary strings are there subject to each of the following restrictions?
No restrictions.
The string starts with 001.
The string starts with 001 or 10.
The string has exactly 60's.
The string has exactly 60's and the first bit is 1.
How many 9 - bit binary strings are there subject

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