Explanation:

- Work Details:

- 6 men can complete the work in 64 days. Therefore, 1 man’s work for a day equals 1/384 of the work.

- 24 females can complete it in 32 days. Therefore, 1 female’s work for a day equals 1/768 of the work.

- Initial Combined Workforce:

- 16 men and 24 females start the work.

- Their daily work rate: $16\times \frac{1}{384}+24\times \frac{1}{768}=\frac{16}{384}+\frac{24}{768}$.

- After 12 Days:

- Calculate work done: Multiply daily work rate by 12.

- 8 men and 8 women leave.

- Remaining Workforce:

- 8 men and 16 women left. Calculate their new daily work rate.

- Finish Remaining Work:

- Use remaining workforce rate to find days required to complete the work.

- Answer the given problem correctly according to calculations:

- Option: 4 - 15

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