Precalculus Combinations and Permutations Test Review

Precalculus Combinations and Permutations Test Review

<p>Precalculus Combinations and Permutations Test Review Name ______</p><p>1. Evaluate: 12C10 66</p><p>2. Evaluate 45C2 990</p><p>3. Use the binomial Theorem to expand, then simplify (2x-3)3 8x3-36x2+54x-27</p><p>4. Use the binomial Theorem to expand, then simplify (x-2y)4 x4-8x3y+24x2y2-32xy3+16y4</p><p>5. Use the binomial Theorem to expand and simplify -2(x-1)4-3(x+2)3. -2x4+5x3-30x2-28x-26</p><p>6. Evaluate 10P6. 151,200</p><p>7. Evaluate 14P4 24,024</p><p>8. Find the number of distinguishable permutations using the letters OKEECHOBEE. 75,600</p><p>9. How many ways can a ten-question multiple choice test be answered if each question has five possible answers? 9765625</p><p>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</p><p>11. A license plate number consists of three letters followed by three digits. How many distinct license plate numbers can be formed? 17576000</p><p>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</p><p>13. Determine the number of possible 5 digit zip codes. 100000</p>

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