How many of the following are coloured or paramagnetic or coloured and paramagnetic both.
`NO_(2),Cu^(+1),O_(2),O_(3),Hg_(2)^(+2),Cd^(+2), Al,C("graphite"),Sc^(+3)`

Explanation

To determine how many of the given substances are colored, paramagnetic, or both, we will analyze each one individually based on their electronic configurations and properties.

1. **NO₂ (Nitrogen Dioxide)**:
- Electronic Configuration: NO₂ has an unpaired electron.
- **Conclusion**: Paramagnetic and colored.

2. **Cu⁺ (Copper(I) Ion)**:
- Electronic Configuration: Cu⁺ has the configuration [Ar] 3d¹⁰.
- **Conclusion**: Diamagnetic (no unpaired electrons), colorless.

3. **O₂ (Oxygen)**:
- Electronic Configuration: O₂ has two unpaired electrons in its π* orbitals.
- **Conclusion**: Paramagnetic, colorless.

4. **O₃ (Ozone)**:
- Electronic Configuration: O₃ is diamagnetic.
- **Conclusion**: Colorless but has a pale blue color.

5. **Hg₂²⁺ (Mercury(I) Ion)**:
- Electronic Configuration: Hg₂²⁺ is a dimer of Hg⁺ and is diamagnetic.
- **Conclusion**: Colorless and diamagnetic.

6. **Cd²⁺ (Cadmium Ion)**:
- Electronic Configuration: Cd²⁺ has the configuration [Kr] 4d¹⁰.
- **Conclusion**: Diamagnetic and colorless.

7. **Al (Aluminum)**:
- Electronic Configuration: Al has one unpaired electron in its 3p orbital.
- **Conclusion**: Paramagnetic and silvery-white in color.

8. **C (Graphite)**:
- Electronic Configuration: Graphite has unpaired electrons in its p orbitals.
- **Conclusion**: Paramagnetic and black in color.

9. **Sc³⁺ (Scandium(III) Ion)**:
- Electronic Configuration: Sc³⁺ has the configuration [Ar] 3d⁰.
- **Conclusion**: Diamagnetic and colorless.

Now, let's summarize the findings:

- **Colored and Paramagnetic**: NO₂, Al, C (Graphite)
- **Colored but not Paramagnetic**: O₃ (pale blue)
- **Paramagnetic but not Colored**: O₂
- **Diamagnetic and Colorless**: Cu⁺, Hg₂²⁺, Cd²⁺, Sc³⁺

### Final Count:
- **Total substances that are colored or paramagnetic or both**:
- NO₂ (colored and paramagnetic)
- O₂ (paramagnetic)
- O₃ (colored)
- Al (paramagnetic)
- C (graphite) (paramagnetic and colored)

**Total = 5 substances**.