Question

the number of meaningful ways 4 fermions can be arranged in 5 compartment​

Answer 1

Answer:

The number ways 4 fermions be arranged in 5 compartments is five

Explanation:

Fermions:

• Fermions are spin - 1/2 particles.
• They follow Pauli's Exclusion principle.
• Their distribution is given by the Fermi-Dirac Statistics.

Fermi-Dirac Statistics:

If we have 'n' distinguishable particles and we are required to distribute these particles into states, given only one particle can be placed in each state then the number of possible ways in which this distribution can be done is given by

                                           $N \choose{n}$

Likewise, in our case N=5, n=4. Therefore, the number of ways is given by

                                      ${5} \choose{4}$

                        $= \frac{5!}{4!1!} = 5$

The number of meaningful ways by which 4 distinguishable fermions be arranged in 5 compartments wherein only 1 fermion can be placed in a compartment at a time is 5