Reduce number of points in a shapefile

[BruceCampbell]

I have a shapefile of land surface altitude points created from a DEM. The problem is, there are about 7.6 million points and I need to move it out of ARCMap and to another program and it's too large for the second program. Is there a way to select every 10th point in the shapefile and create another shapefile?

[BondHarper]

If you just want to select every 10th point regardless of its spatial relation, you could just use the select by attributes with a unique id field:

mod("FID",10)=0

where FID is your sequential integer id field

[BruceCampbell]

Worked very nicely - thanks!