The population of a village is 78692. Out of which 29642 are men and 28167 are women and the remaining are children. Then the number of children is

Question

Accepted Answer

To determine the number of children in the village, we need to subtract the number of men and women from the total population. The total population of the village is 78,692. Out of this, 29,642 are men and 28,167 are women. The remaining population will be the number of children.

Let's calculate the number of children:

1. **Calculate the total number of men and women:**
   $$
   \text{Total number of men and women} = 29,642 + 28,167 = 57,809
   $$

2. **Subtract the total number of men and women from the total population to find the number of children:**
   $$
   \text{Number of children} = 78,692 - 57,809 = 20,883
   $$

Therefore, the number of children in the village is 20,883, which corresponds to Option 1.

**Explanation for why each of the other options is incorrect:**

- **Option 2 (21,883):** This option is incorrect because when we subtract the total number of men and women (57,809) from the total population (78,692), the result is 20,883, not 21,883. The calculation does not support this option.

- **Option 3 (20,893):** This option is incorrect because the correct subtraction of the total number of men and women from the total population results in 20,883, not 20,893. The difference of 10 is not justified by the given numbers.

- **Option 4 (20,783):** This option is incorrect because the calculation of the number of children is 20,883, not 20,783. The discrepancy of 100 is not supported by the arithmetic operation.

In conclusion, the correct number of children is 20,883, which is accurately represented by Option 1.