In how many ways 6 rings of different types can be worn in 4 fingers?

Explanation

To solve the problem of how many ways 6 rings of different types can be worn on 4 fingers, we can follow these steps:

### Step 1: Understand the Problem
We have 6 rings, and each ring can be placed on any of the 4 fingers. Since the rings are of different types, the order in which we place them matters.

### Step 2: Determine the Choices for Each Ring
For each ring, we have 4 choices (one for each finger). This means:
- The first ring can be placed on any of the 4 fingers.
- The second ring can also be placed on any of the 4 fingers.
- This continues for all 6 rings.

### Step 3: Calculate the Total Number of Ways
Since the placement of each ring is independent of the others, we can use the multiplication principle of counting. Therefore, the total number of ways to wear the rings can be calculated as follows:

\[ \text{Total Ways} = (\text{Choices for Ring 1}) \times (\text{Choices for Ring 2}) \times (\text{Choices for Ring 3}) \times (\text{Choices for Ring 4}) \times (\text{Choices for Ring 5}) \times (\text{Choices for Ring 6}) \]

Given that each ring has 4 choices, we can express this as:

\[ \text{Total Ways} = 4 \times 4 \times 4 \times 4 \times 4 \times 4 = 4^6 \]

### Step 4: Calculate \(4^6\)
Now we need to compute \(4^6\):

\[ 4^6 = 4096 \]

### Final Answer
Thus, the total number of ways to wear 6 rings of different types on 4 fingers is **4096**.

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