In how many ways can 5 rings of differents type can be worn in 4 fingers ?

Options

A. a. 1024
B. b. 6720
C. c. 5260
D. d. none of these

Answer

To solve the problem of how many ways 5 rings of different types can be worn on 4 fingers, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Number of Rings and Fingers**:
We have 5 rings and 4 fingers.

2. **Understanding the Placement**:
Each ring can be placed on any of the 4 fingers. This means that for each ring, there are 4 choices of fingers.

3. **Calculating the Total Combinations**:
Since the placement of each ring is independent of the others, we can use the multiplication principle of counting.
- For the first ring, there are 4 choices (fingers).
- For the second ring, there are also 4 choices (fingers).
- This continues for all 5 rings.

4. **Using Exponents**:
Therefore, the total number of ways to place the rings can be calculated as:
\[ \text{Total ways} = 4 \times 4 \times 4 \times 4 \times 4 = 4^5 \]

5. **Calculating \(4^5\)**:
Now we need to calculate \(4^5\):
\[ 4^5 = 1024 \]

6. **Final Answer**:
Thus, the total number of ways to wear the 5 rings on 4 fingers is **1024**.

### Summary:
The number of ways to wear 5 rings of different types on 4 fingers is \(4^5 = 1024\).