Relation between image size, resolution and pixels

I would like to increase the size of image by using PSE9.
For sample existing image had: width (W) 6.073", height (H) 7.683", resolution 300, pixels W 1822, H 2305.
A situation) when I changed the image to W 8, H10 and click on RESAMPLE the resolution on changed but number of pixels increase to W 2400 and
H 3036
B situation) Image size W 8, H 10 and NO ACTIVATED RESAMPLE. Now resolution reduced to 227 and number of pixel NO CHANGED from original
W 1822, H 2305
In my understanding if image blow up the number of pixels will be same as original and only the distance between pixels will be increase. So, resolution should
be dropped.
Now the question: How in sample A increase number of pixels? From where they come?
More realistic looks sample B.
Now other way: I used crop - make original image smaller. So, the number of pixels should degrees and resolution NO CHANGED. But PSE 9 shown number of pixels same and resolution increased.
Is it right?
What is wrong or right in above explanation?
Can visible find the difference between samples A & B on computers monitor? I tried blow up sample B by 10 times and still no differences on screen,It is because resolution of monitor to low?

A. Resample means elements adds pixels to the existng pixels to increase image size
    and\or resolution and subtracts pixels to downsize. Usually resampling to make an image
    smaller is okay, but resampling to make an image bigger can result in loss of quality.
    Of course that doesn't mean you shouldn't do it, just something to keep in mind.
B. Leaving the resample box unchecked, elements only changes resolution (print size)
    and doesn't change the actual number of pixels (harm the image) so the image will
    be and look the same on your monitor.
Usually a resampled image will be of lower quality than a non resampled image because
elements has to make pixels to upsize and subtract pixels to downsize.
Elements uses the resampling method choosen in the image size dialog to determine how,
with one of the bicubic choices being the best for photos.
Elements, as far as i know, uses the standard bicubic mehod for the resampling with the crop tool.
A more detailed explanation:
http://kb2.adobe.com/cps/331/331327.html
MTSTUNER

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Image Size reduction and gain resolution... Help?

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I have a large photo (3456x2304) but it is at 72ppi.
I am trying to use it as a very small image (200px or so) but I need it at 300ppi.
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There is a relationship between image size and ppi (resolution) that can not be changed. Here is an example from the web titled "understanding resolution".
Let's say you have an image that is 9 inches wide and 6 inches high with a resolution of 240 pixels/ per inch (8.9mb file). If you change one of the values the other two will change (resample image turned off). In this example if you changed the width to 6 inches the height would become 4 inches and the resolution would become 360 ppi.
So if you are taking a large image and reducing the size the ppi has to go up. There are the same number of pixels in the picture, they are compressed into a smaller space. The article says this is because a digital image has no absolute size or resolution. All it has is a certain number of pixels in each dimension.
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How to make Image/size/resolution agree with metadata resolution?

After scanning the help file a bit and searching thru this forum a bit with `metadata resolution' as search criteria, I'm still pretty confused about how it is supposed to work.. I may have never actually found the right part of the help file.
Cutting to the chase: How can I make the resolution reported by the metadata tab for resolution agree with what is reported inside photoshop at Image/size resolution. I didn't see any way to set how res is reported in bridge.
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They do BOTH mean pixels per inch right? If so, or really even if they don't how can I get the two reports to show the same resolution?
There are too many processes that depend on knowing res in advance of opening a file for that to be so far divergent.

Jingshu Li wrote:
Some JPG or Tiff with Camera raw settings will be opened in ACR firstly when you double click them. In ACR workflow option (the bottom in the ACR dialog) the resolution value isn’t same with that in Bridge (metadata panel). If you go ahead to open the image in PS by clicking ‘Open Image’ button in ACR dialog and then check the image size from Image -> Image Size in PS, the resolution will be same with ACR (actually it is changed by ACR).
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So what file types are you using and if they’re opened by ACR firstly in your workflow?
The files are *.jpg. But I don't see where camera raw comes in. These are common jpg files. I'm opening them by double click in bridge.
Any way I did disable jpg and tiff in the Camera Raw preferences as you suggested. At Jpeg and tiff handling, both disabled. and restared bridge.
However, I see no improvment.
For example, a file reporting 72 ppi in bridge when opened in photoshop ... Images/size resolution reports 480 pixels/inch.
There is obviously some kind of miss handling that has been done to these files for them to have such a high resolution. I suspect they may have been handled at Walgreens or Walmart... or similar since I had something very similar happen to me once when I had a bunch of pictures developed at Walgreens and they cam back with resolutions like that, when I know the camera would have given them something way less.
But I don't see how any of that should be effecting Bridges inability to get the resolution right.
Here is another example: some.jpg
It appears that bridge is showing an unusually huge file size in inches, to account for the reported 72 ppi.
Bridge:
Size: ...............1.14mb
Dimensions:.....1496x1064
Dimensions in
inches ............20.8x26.7
Resolution: .....72 ppi
===========================
Photoshop:
pixels
Width 1496
height 2064
Document size
inches
width 4.987
height 6.88
Resolution 300
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