$1\mathrm{.}1$ In a company, the Employee ID format is as follows

Start with two initials of the employee

Ends with $4$ digits

The first two digits are the employee's birth month in a two$-$digit format $(01$ to $12)$

Next, two digits are random to make a unique ID $(00$ to $99)$

All employees have a unique ID number

See an example of Nathan Peter's ID$,$ who was born in October and has the following ID number.

a$.$ How many possible ID numbers for employees can the company produce?

b$.$ According to the above ID format, how many employees can have ID numbers with the initials NP$?$

c$.$ How many valid IDs can be made following this format if the order of the Letters or Numbers does not matter? $($for example, NP $1025$ is the same as PN $0152)\mathrm{.}1\mathrm{.}1$ In a company, the Employee ID format is as follows

Start with two initials of the employee

Ends with $4$ digits

The first two digits are the employee's birth month in a two$-$digit format $(01$ to $12)$

Next, two digits are random to make a unique ID $(00$ to $99)$

All employees have a unique ID number

See an example of Nathan Peter's ID$,$ who was born in October and has the following ID number.

a$.$ How many possible ID numbers for employees can the company produce?

b$.$ According to the above ID format, how many employees can have ID numbers with the initials NP$?$

c$.$ How many valid IDs can be made following this format if the order of the Letters or Numbers does not matter? $($for example, NP $1025$ is the same as PN $0152).$