Can I take photographs inside the museum?

Yes

Yes, but no flash

Some rooms yes, some traveling exhibits no. There are signs

You can take pictures in most places of the museum

Yes you can. But if the photos are for commercial purposes you need to request permission.

You can take pictures in some rooms, however in some rooms you cannot. There are signs indicating whether or not picture taking is allowed in certain rooms.

Yes, unless posted otherwise. No flash, of course

Yes, for the majority of the museum. As already mentioned, there can be restrictions for special exhibits, tho it will be clearly posted.

Not all the exhibits. But majority, yes.

Click away

Yes but each special exhibit might have different restrictions