Originally Posted by

**agm** My AP Statistics teacher gave my class two sheets of problems today(first day of class) to see how we could do. I haven't done problems like these for a year or two so I want to make sure I'm on track.

I want to make sure these three in particular are correct:

1.How many ways can 8 members of a family be seated side-by-side in a movie theater if the father is seated on the aisle?

My attempt:

$\displaystyle 1(7!)=5040$

I represented the father as $\displaystyle 1$, I know $\displaystyle 7!$ and $\displaystyle 7!(1)$ are the same. Is my answer correct?

2. How many license plate numbers consisting of three letters followed by three numbers are possible when repetition is allowed?

My attempt:

$\displaystyle (26^3)(10^3)=17,576,000$

3. How many combinations are possible using the information in problem 7(the above problem) if no repetition is allowed?

My attempt:

$\displaystyle (26)(25)((24)(10)(9)(8)=11,232,000$