How many $8$

$-$bit strings $($that is$,$ bit strings of length $8)$ are there which:

Start with the sub$-$string $011?$

Have weight $4($i$.$e$.,$ contain exactly $41$s$)$ and start with the sub$-$string $011?$

Either start with $011$

or end with $01$

$($or both$)?$

Have weight $4$ and either start with $011$

or end with $01$

$($or both$)?$