Textbook search committee is considering 13 bucks for possible adoption committee has decided to select six of the 13 for further consideration and how many ways can i do so

Here is a simple way we can do this.
We have six blanks.
__ __ __ __ __ __

Now, we have 13 possible options to fill in blank number one.
13 __ __ __ __ __

Now we have 12 possible options to fill in blank number two because one person has already been chosen.
13 12 __ __ __ __

Now we have 11 possible options for blank number three.
13 12 11 __ __ __

Now we have 10 possible options for blank number four.
13 12 11 10 __ __

And so forth until we get:
13 12 11 10 9 8

Now we just have to multiply the numbers all together.
13 * 12 * 11 * 10 * 9 * 8
is equal to:
1235520 ways.