Consider the Employees table below:

$\backslash$table$[[$EmployeelD$,$FirstName,LastName,Department,Salary$],[1,$Alice,Smith,HR$,60000],[2,$Bob,Johnson,IT$,75000],[3,$Carol,Williams,Finance,$80000],[4,$David,Brown,IT$,72000],[5,$Eve,Davis,HR$,65000]]$

A non$-$clustered index on the LastName column was created.

Question:

Given the Employees table with a non$-$clustered index on LastName, which of the following statements are true? $($One or more choices is correct$)$

a$.$ The data in the table is physically sorted based on the LastName values.

b$.$ Inserting a new employee will require updating the non$-$clustered index.

c$.$ Updating the FirstName of an employee will require updating the non$-$clustered index.

d$.$ A query that searches for an employee by LastName will be faster due to the non$-$clustered index.

e$.$ Deleting an employee record will require updating the non$-$clustered index.