In how many ways can six different rings be worn on four fingers of one hand?

Options

A. 10
B. 12
C. 15
D. 16

Answer

To solve the problem of how many ways six different rings can be worn on four fingers of one hand, we can follow these steps:

### Step 1: Understand the Problem
We have 6 different rings and 4 fingers. Each ring can be placed on any of the 4 fingers.

### Step 2: Determine Choices for Each Ring
For each ring, we have 4 choices (one for each finger).

### Step 3: Calculate Total Combinations
Since the choice of finger for each ring is independent of the others, we can use the multiplication principle of counting. This means we multiply the number of choices for each ring together.

For 6 rings, the total number of ways to choose fingers is:
\[ 4 \times 4 \times 4 \times 4 \times 4 \times 4 = 4^6 \]

### Step 4: Compute \(4^6\)
Now we calculate \(4^6\):
\[ 4^6 = 4096 \]

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

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