Once Ruskin Bond meets 4 kids on his way to Dehradun. While chatting with them he decides to distribute all the 12 identical chocolates among these kids
Find the number of ways of distributing 12 chocolates among 4 kids equally.

Options

A. (A) 4
B. (B) `4^4`
C. (C) `(12!)/(4!)`
D. (D) 1

Answer

To solve the problem of distributing 12 identical chocolates among 4 kids equally, we can follow these steps:

### Step 1: Understand the Problem
We need to distribute 12 identical chocolates among 4 kids such that each kid receives the same number of chocolates.

### Step 2: Calculate the Number of Chocolates per Kid
Since we want to distribute the chocolates equally, we divide the total number of chocolates (12) by the number of kids (4):
\[ \text{Chocolates per kid} = \frac{12}{4} = 3 \]
This means each kid will receive 3 chocolates.

### Step 3: Determine the Distribution Method
Since the chocolates are identical and we are distributing them equally, there is only one way to distribute them. Each kid gets exactly 3 chocolates, and there are no other variations possible.

### Step 4: Calculate the Total Ways to Distribute
Since each kid receives the same number of chocolates, the number of ways to distribute the chocolates is simply:
\[ 1 \text{ way} \]

### Conclusion
Thus, the total number of ways to distribute 12 identical chocolates among 4 kids equally is:
\[ \boxed{1} \]

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