What will be the total number of mitotic divisions in the formation of 64 daughter cells ?

Options

A. 6
B. 32
C. 63
D. 16

Answer

To solve the question of how many mitotic divisions are required to form 64 daughter cells, we can follow these steps:

### Step-by-Step Solution:

1. **Understanding Mitosis**: Mitosis is a type of cell division that results in two daughter cells from one parent cell. Each mitotic division doubles the number of cells.

2. **Using the Formula**: The number of daughter cells (N) formed after n mitotic divisions can be calculated using the formula:
\[ N = 2^n \]
where \( n \) is the number of mitotic divisions.

3. **Setting Up the Equation**: We know from the problem statement that the total number of daughter cells is 64. Therefore, we can set up the equation:
\[ 64 = 2^n \]

4. **Solving for n**: To find \( n \), we need to express 64 as a power of 2. We can do this by calculating:
\[ 2^6 = 64 \]
This means that \( n = 6 \).

5. **Conclusion**: Therefore, the total number of mitotic divisions required to form 64 daughter cells is 6.

### Final Answer:
The total number of mitotic divisions required to form 64 daughter cells is **6**.

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