What phase of matter has strong intermolecular attractions that hold all the particles together in a fixed arrangement with a set shape and volume, with particles vibrating in that fixed position?

Solids

The solids are characterized by resisting changes in shape and volume because their molecules have strong intermolecular attractions that keep all the particles together in a fixed position. In this way, the particles in a solid are together and correctly ordered thanks to these attractions. The molecules in a solid have a great cohesion, that is, they are strongly united, and they adopt definite forms, vibrating in a fixed position in space.

Solid is the phase of matter has strong intermolecular attractions that hold all the particles together in a fixed arrangement with a set shape and volume, with particles vibrating in that fixed position.

Explanation

A solid can maintain its rigid shape because they have molecules that are tightly packed together. The particles are packed tightly together in a solid. The strong forces of attraction between the particles unable the particles to move freely. The kinetic energy of these particles is also very low. The electrons of all atoms are always in motion, so the atoms are always vibrating, but in solids, they have a very low kinetic energy that is why they are fixed in their position. Solid has a definite volume. The increasing pressure has no effect on the particles of a solid since are already so tightly packed together that it will not compress the solid to a smaller volume or expand the solid to a occupy a larger volume.

that's what i got you can count the number of atoms