Step 1: Arrange the digits in ascending order.
The given number is 758462139. When the digits are arranged in ascending order, we get:
\[
123456789
\]
Step 2: Compare the original and arranged numbers.
Compare the digits of the original number \( 758462139 \) with the new number \( 123456789 \). The digits that remain in the same position are:
- The digit 1 is in the same place in both numbers.
- The digit 3 is in the same place in both numbers.
Thus, two digits remain in the same place.
Final Answer: \[ \boxed{\text{two}} \]
A weight of $500\,$N is held on a smooth plane inclined at $30^\circ$ to the horizontal by a force $P$ acting at $30^\circ$ to the inclined plane as shown. Then the value of force $P$ is:
A steel wire of $20$ mm diameter is bent into a circular shape of $10$ m radius. If modulus of elasticity of wire is $2\times10^{5}\ \text{N/mm}^2$, then the maximum bending stress induced in wire is: