Find the number of ways of putting five distinct rings on four fingers of the left hand. (Ignore the difference of size of rings and the fingers)

Options

A. 1024
B. 6720
C. 5260
D. none of these

Answer

To find the number of ways to put five distinct rings on four fingers of the left hand, we can follow these steps:

### Step 1: Understand the problem
We have 5 distinct 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 the total combinations
Since the rings are distinct, the choice for each ring is independent of the others. Therefore, we can use the multiplication principle of counting.

- For Ring 1, there are 4 choices (fingers).
- For Ring 2, there are again 4 choices.
- This continues for all 5 rings.

Thus, the total number of ways to arrange the rings is calculated as follows:

\[ \text{Total ways} = 4 \times 4 \times 4 \times 4 \times 4 = 4^5 \]

### Step 4: Compute \(4^5\)
Now, we compute \(4^5\):

\[ 4^5 = 1024 \]

### Conclusion
Therefore, the total number of ways to put 5 distinct rings on 4 fingers is **1024**.

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