A coin and a die are tossed simultaneously. Enumerate the sample space and the following event.

$C$ : Getting a head and a perfect square.

Find $\mathrm{n}\left(\mathrm{S}\right)$ for the following random experiment.  

$3$ tickets are drawn from a box containing $20$ lottery tickets.

Find $\mathrm{n}\left(\mathrm{S}\right)$ for the following random experiment.  

$5$ letters are to be placed into $5$ envelopes such that no envelope is empty. 

Find $n\left(S\right)$ for of the following random experiment:

$6$ books of different subjects arranged on a shelf. 

Find $\mathrm{n}\left(\mathrm{S}\right)$ for the following random experiment.

From an urn containing $5$ gold and $3$ silver coins, $3$ coins are drawn at random 

Two fair dice are thrown. State the sample space and write the favorable outcomes for the following event.

$A$: Sum of numbers on two dice is divisible by $3$ or $4$. 

Two fair dice are thrown. State the sample space and write the favorable outcomes for the following events.

$B$ : Sum of numbers on two dice is $7$. 

Two fair dice are thrown. State the sample space and write the favourable outcomes for the following events.

$C$: Odd number on the first die.  

Two fair dice are thrown. State the sample space and write the favorable outcomes for the following event.

$D$: Even number on the first die.