## anonymous one year ago You have checked out b books from the library, where b is a number greater than 5. You plan to read three of the books and return them at the end of this week. In how many ways can you pick the books you will read first, second, and third?

1. anonymous

A. b3 ways B. (b3 - 3b2 + 2b) ways C. (b3 - 9b2 + 27b - 27) ways D. (5b - 3) ways

2. kropot72

There are b choices for the first book, (b - 1) choice for the second choice and (b - 2) choices for the third. $\large Number\ of\ choices=b \times (b-1)\times (b-2)=you\ can\ multiply\ out$

3. anonymous

so would it be D?

4. arindameducationusc

I guess Not D

5. kropot72

Partially multiplying out, the number of ways is given by$\large b(b^{2}-3b+2)=you\ can\ multiply\ out$

6. anonymous

Honestly, this makes no sence to me

7. arindameducationusc

okay, do you know distributive law?

8. anonymous

yes.

9. anonymous

I got B. Is that correct?

10. kropot72

Yes, b is the correct choice of answer.

11. anonymous

OKay, thank you

12. kropot72

You're welcome :)