Total number of 3d-series transition elements contain either `3d^(1)` or `4s^(1)` orbital in their ground state electric configuration.

Answer

To solve the question regarding the total number of 3d-series transition elements that contain either `3d^(1)` or `4s^(1)` in their ground state electronic configuration, we will follow these steps:

### Step 1: Identify the 3d-series Transition Elements
The 3d-series transition elements are those with atomic numbers from 21 to 30. These elements are:
- Scandium (Sc, 21)
- Titanium (Ti, 22)
- Vanadium (V, 23)
- Chromium (Cr, 24)
- Manganese (Mn, 25)
- Iron (Fe, 26)
- Cobalt (Co, 27)
- Nickel (Ni, 28)
- Copper (Cu, 29)
- Zinc (Zn, 30)

### Step 2: Write Down the Ground State Electronic Configurations
Next, we will write the ground state electronic configurations for these elements:
1. Scandium (Sc): [Ar] 3d¹ 4s²
2. Titanium (Ti): [Ar] 3d² 4s²
3. Vanadium (V): [Ar] 3d³ 4s²
4. Chromium (Cr): [Ar] 3d⁵ 4s¹
5. Manganese (Mn): [Ar] 3d⁵ 4s²
6. Iron (Fe): [Ar] 3d⁶ 4s²
7. Cobalt (Co): [Ar] 3d⁷ 4s²
8. Nickel (Ni): [Ar] 3d⁸ 4s²
9. Copper (Cu): [Ar] 3d¹⁰ 4s¹
10. Zinc (Zn): [Ar] 3d¹⁰ 4s²

### Step 3: Identify Elements with `3d^(1)` or `4s^(1)`
Now, we need to identify which of these configurations contain either `3d¹` or `4s¹`:
- Scandium (Sc): 3d¹ (contains 3d¹)
- Titanium (Ti): Does not contain 3d¹ or 4s¹
- Vanadium (V): Does not contain 3d¹ or 4s¹
- Chromium (Cr): 4s¹ (contains 4s¹)
- Manganese (Mn): Does not contain 3d¹ or 4s¹
- Iron (Fe): Does not contain 3d¹ or 4s¹
- Cobalt (Co): Does not contain 3d¹ or 4s¹
- Nickel (Ni): Does not contain 3d¹ or 4s¹
- Copper (Cu): 4s¹ (contains 4s¹)
- Zinc (Zn): Does not contain 3d¹ or 4s¹

### Step 4: Count the Elements
From the above analysis, the elements that contain either `3d¹` or `4s¹` are:
1. Scandium (Sc) - 3d¹
2. Chromium (Cr) - 4s¹
3. Copper (Cu) - 4s¹

Thus, the total number of 3d-series transition elements that contain either `3d¹` or `4s¹` in their ground state electronic configuration is **3**.

### Final Answer
The total number of 3d-series transition elements containing either `3d^(1)` or `4s^(1)` in their ground state electronic configuration is **3**.

---