There are 720 permutations of the digits 1, 2 ,3 , 4, 5, 6 suppose these permutations are arranged from smallest to largest numerical values beginning from 123456 and and ending with 654321.Whihc of the following is correct?
Number on the 124th position is 213564
Number on the 267th position is 321546
Number on the 124th position is 213546
Number on the 267th position is 321564
It can be obtained by Starting from 1 = 5! = 120

Inductance of a coil with \(10^4\) turns is \(10\,\text{mH}\) and it is connected to a DC source of \(10\,\text{V}\) with internal resistance \(10\,\Omega\). The energy density in the inductor when the current reaches \( \left(\frac{1}{e}\right) \) of its maximum value is \[ \alpha \pi \times \frac{1}{e^2}\ \text{J m}^{-3}. \] The value of \( \alpha \) is _________.
\[ (\mu_0 = 4\pi \times 10^{-7}\ \text{TmA}^{-1}) \]
A small block of mass \(m\) slides down from the top of a frictionless inclined surface, while the inclined plane is moving towards left with constant acceleration \(a_0\). The angle between the inclined plane and ground is \(\theta\) and its base length is \(L\). Assuming that initially the small block is at the top of the inclined plane, the time it takes to reach the lowest point of the inclined plane is _______. 