Generally speaking 'single taskers' will always outperform 'multi-taskers'. However, in this case, there are 2 things to consider. First the picture itself. Are you going to PRINT them? Create a slideshow? Crop the pictures?
What you see on a tablet or camera display can be quite different from what they look at when printed. The camera will clearly outshine the tablet here. If all you are going to do is make slideshows for PC or TV, it is possible both are OK. Cropping, the 16MP will work much better as, depending on the area cropped, the resolution will still be good, even for printing. Check this LINK (2nd PAGE) for approximate print capability.
Lastly is picture retention. On a camera you can buy large SD cards. With an 8GB card my 12.1MP camera can HOLD about 3,300 pictures or 30 minutes of movies. Not only that, and can always pop in another card. Tablet, constrained by the available memory on the device. However, since the MP is probably lower, and if it isn't full, the tablet should also be able to save thousands of pictures. My iPad has 1,900 on it (I transfer from the camera to it, picture size is that of the camera while on vacation) so if you have the space (mine is a 64GB model) that shouldn't matter.
The real difference will be ZOOM. My iPad has NONE but there are programs I think that allow that, but that would be digitally vs. optical which is always preferred. Mine is 16x zoom optical, and that makes a world of difference vs the iPad.
I would use the camera, almost a no brainer, besides it is easier to carry around. How many people do you see taking pictures with a tablet? Many do with phones, but not tablets vs. a camera.