Answer these questions based on the following information.
There are 2 white candles, 3 red candles, 4 green candles and 3 yellow candles in a brand new packet. All the candles are uniform in shape and size, except their colour, as told above.
Find the number of ways of selecting one candle of each colour.

Options

A. A) 10
B. B) 11
C. C) 2
D. D) 1

Answer

To solve the problem of selecting one candle of each color from the given candles, we can break it down step by step.

### Step-by-Step Solution:

1. **Identify the Number of Candles by Color**:
- White candles: 2
- Red candles: 3
- Green candles: 4
- Yellow candles: 3

2. **Understanding Selection from Identical Items**:
- Since the candles of the same color are identical, when we select one candle from a color, there is only one way to do so. For example, selecting one white candle from two identical white candles can be done in only one way.

3. **Calculate the Number of Ways for Each Color**:
- For white candles: There is 1 way to select 1 from 2 (since they are identical).
- For red candles: There is 1 way to select 1 from 3 (since they are identical).
- For green candles: There is 1 way to select 1 from 4 (since they are identical).
- For yellow candles: There is 1 way to select 1 from 3 (since they are identical).

4. **Combine the Selections**:
- Since the selections are independent (the choice of one color does not affect the others), we multiply the number of ways to select each color:
\[ \text{Total ways} = 1 \times 1 \times 1 \times 1 = 1 \]

5. **Final Answer**:
- Therefore, the total number of ways to select one candle of each color is **1**.