If '$+$ ' and '$\times$ ' are interchanged, and '$-$ ' and '$÷$ ' are interchanged, then what will come in place of the question mark ($?$) in the following equation?
$$14-7\times 10÷1+7=?$$

Given equation:
$$14-7\times 10÷1+7=?$$

After interchanging the signs as specified ('$+$ ' with '$\times$ ', and '$-$ ' with '$÷$ '), the new equation becomes:

$$14÷7+10-1\times 7=?$$

Applying the BODMAS rule:

1. Division: $\frac{14}{7}=2$
2. Multiplication: $1\times 7=7$

Substitute these values back into the equation:

$$2+10-7=?$$

3. Addition: $2+10=12$
4. Subtraction: $12-7=5$

Therefore, $?=5$.