College Algebra & Trigonometry, 2018a

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7.3. PERMUTATIONS AND COMBINATIONS 317 In a combination in which the order is not important and there are no assigned roles the number of possibilities is defined as: nC r = n! (n − r)! ∗ r! One way to remember the difference between a permutation and a combination is that on a combination pizza it doesn’t make any difference whether the sausage goes on before the pepperoni or whether the onions are put on first - so in a combination, order is not important!
318 CHAPTER 7. COMBINATORICS EXERCISES 7.3 Find the value of the following expressions. 1) 10C 4 2) 8C 3 3) 10C 6 4) 8C 5 5) 15C 12 6) 18C 2 7) nC 4 8) 9C r 9) How many three-topping pizzas can be made if there are twelve toppings to choose from? 10) How many bridge hands of 13 cards are possible from a deck of 52 cards? 11) How many poker hands of 5 cards are possible from a deck of 52 cards? 12) How many different bridge hands of 13 cards are possible if none of the cards is higher than 10 (i.e. no face cards)? 13) How many different poker hands of 5 cards are possible if none of the cards is higher than 8? 14) If a person has 10 different t-shirts, how many ways are there to choose 4 to take on a trip? 15) If a band has practiced 15 songs, how many ways are there for them to select 4 songs to play at a battle of the bands? How many different performances of four songs are possible?
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College Algebra & Trigonometry
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c○2018 Richard W. Beveridge This
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4 CONTENTS 2.4 Solution of Rational
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6 CONTENTS 8.2 The Trigonometric Ra
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8 CONTENTS
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10 CHAPTER 1. ALGEBRA REVIEW Exampl
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12 CHAPTER 1. ALGEBRA REVIEW 2(x +3
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14 CHAPTER 1. ALGEBRA REVIEW 1.2 Fa
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16 CHAPTER 1. ALGEBRA REVIEW Trinom
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18 CHAPTER 1. ALGEBRA REVIEW Here,
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20 CHAPTER 1. ALGEBRA REVIEW (3x ?)
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22 CHAPTER 1. ALGEBRA REVIEW which
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24 CHAPTER 1. ALGEBRA REVIEW Differ
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30 CHAPTER 1. ALGEBRA REVIEW Then,
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32 CHAPTER 1. ALGEBRA REVIEW We can
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34 CHAPTER 1. ALGEBRA REVIEW PROGRA
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36 CHAPTER 1. ALGEBRA REVIEW In mov
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40 CHAPTER 1. ALGEBRA REVIEW devise
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42 CHAPTER 1. ALGEBRA REVIEW −7i(
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44 CHAPTER 1. ALGEBRA REVIEW Exerci
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46 CHAPTER 1. ALGEBRA REVIEW 43) (3
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48 CHAPTER 1. ALGEBRA REVIEW When w
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52 CHAPTER 1. ALGEBRA REVIEW The fa
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62 CHAPTER 1. ALGEBRA REVIEW 1.7 Ad
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64 CHAPTER 1. ALGEBRA REVIEW 7 x 2
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74 CHAPTER 1. ALGEBRA REVIEW Exampl
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78 CHAPTER 1. ALGEBRA REVIEW 17) 5
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80 CHAPTER 1. ALGEBRA REVIEW Addend
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84 CHAPTER 1. ALGEBRA REVIEW 26) On
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86 CHAPTER 1. ALGEBRA REVIEW 40) A
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88 CHAPTER 2. POLYNOMIAL AND RATION
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100 CHAPTER 2. POLYNOMIAL AND RATIO
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140 CHAPTER 3. EXPONENTS AND LOGARI
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190 CHAPTER 4. FUNCTIONS by substit
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192 CHAPTER 4. FUNCTIONS 4.2 Domain
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194 CHAPTER 4. FUNCTIONS Exercises
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196 CHAPTER 4. FUNCTIONS 8) 12 10 8
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198 CHAPTER 4. FUNCTIONS We can use
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200 CHAPTER 4. FUNCTIONS 3) 20 16 1
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202 CHAPTER 4. FUNCTIONS Vertical S
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204 CHAPTER 4. FUNCTIONS Now, if, i
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206 CHAPTER 4. FUNCTIONS So the gra
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208 CHAPTER 4. FUNCTIONS Stretching
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210 CHAPTER 4. FUNCTIONS Multiplyin
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214 CHAPTER 4. FUNCTIONS 3) Match e
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216 CHAPTER 4. FUNCTIONS 6) f(x) 7)
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218 CHAPTER 4. FUNCTIONS Being fami
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222 CHAPTER 4. FUNCTIONS 4.6 Piecew
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226 CHAPTER 4. FUNCTIONS 4.7 Compos
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228 CHAPTER 4. FUNCTIONS 17) h(x) =
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230 CHAPTER 4. FUNCTIONS Original f
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232 CHAPTER 4. FUNCTIONS Then we sw
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234 CHAPTER 4. FUNCTIONS 19) f(x) =
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236 CHAPTER 4. FUNCTIONS 4.9 Optimi
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238 CHAPTER 4. FUNCTIONS 2) The gra
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242 CHAPTER 4. FUNCTIONS 8) A recta
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244 CHAPTER 4. FUNCTIONS So, our fi
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248 CHAPTER 4. FUNCTIONS Distance O
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250 CHAPTER 4. FUNCTIONS The graph
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252 CHAPTER 4. FUNCTIONS Distance/T
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254 CHAPTER 4. FUNCTIONS The graph
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256 CHAPTER 4. FUNCTIONS 3) A power
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258 CHAPTER 5. CONIC SECTIONS - CIR
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438 CHAPTER 10. TRIGONOMETRIC IDENT
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472 CHAPTER 11. THE LAW OF SINES TH
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College Algebra & Trigonometry, 2018a

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