Precalculus Combinations and Permutations Test Review

Precalculus Combinations and Permutations Test Review Name ______

1. Evaluate: 12C10 66

2. Evaluate 45C2 990

3. Use the binomial Theorem to expand, then simplify (2x-3)3 8x3-36x2+54x-27

4. Use the binomial Theorem to expand, then simplify (x-2y)4 x4-8x3y+24x2y2-32xy3+16y4

5. Use the binomial Theorem to expand and simplify -2(x-1)4-3(x+2)3. -2x4+5x3-30x2-28x-26

6. Evaluate 10P6. 151,200

7. Evaluate 14P4 24,024

8. Find the number of distinguishable permutations using the letters OKEECHOBEE. 75,600

9. How many ways can a ten-question multiple choice test be answered if each question has five possible answers? 9765625

10. A class of nine students line up single file for lunch. How many different ways can this occur if the six boys in the class must line up first? 4320

11. A license plate number consists of three letters followed by three digits. How many distinct license plate numbers can be formed? 17576000

12. A committee composed of three math majors and four science majors is to be selected from a group of 20 math majors and 16 science majors. How many different committees can be formed? 2074800

13. Determine the number of possible 5 digit zip codes. 100000