Express, in as many different ways as possible, the numbers $144, 252$ and $1\frac{1}{2}$ in the form $\frac{a!\times b!}{c!},$ where none of $a, b$ or $c$ is equal to $0$ or to $1.$

From a standard deck of $52$ playing cards, find how many ways there are of arranging in a row:

all $52$ cards

From a standard deck of $52$ playing cards, find how many ways there are of arranging in a row:

the four kings

From a standard deck of $52$ playing cards, find how many ways there are of arranging in a row:

the $13$ diamonds.

In how many different ways can the following stand in a line?

two women