Question

Twelve students ask to visit a college admissions counselor. The counselor can meet with one student at a time. In how many ways can seven time slots be assigned?

Answer 1

12*11*10*9*8*7*6*5*4*3*2*1=3,991,680

Answer 2

Thanks!!

Answer 3

I don't think that' correct. The question is asking how many ways can seven time slots be arranged.

It think its this instead:

\[_{n}P _{r}=\frac{ 12! }{ (12-7)! }\]

Answer 4

What does that equal? The answer he gave me was one of the answer choices, and yours isn't

Answer 5

I didn't run 12! in my calculator yesterday, which is 479,001,600 and not 3,991,680. I just assumed 12! was calculated correctly. My bad.

So it looks like the answer is correct, however the answer is not found by just taking 12!

I wrote the correct way to find the answer yesterday. To calculate the answer, you take 12! and divide it by (12-7)!.

12! is 479,001,600 (12-7)! is the same as 5!

So you have 12!/5! which is the same as (12*11*10*9*8*7*6)*5!/5!

The 5!/5! cancels out, and you are left with 12*11*10*9*8*7*6 which equals 3,991680

Or you can use the n! key on your calculator. On my calculator I select the following keys:

Enter 12 on your calculator. Hit the shift key and select n!. Hit the divide key and enter 5. Hit the shift key and select n!. Press the equal sign.