Question 1

1) In a ballroom dance competition, each couple is identified by a number worn on the leader's back. At a

recent competition, forty couples competed. Their numbers are listed below:

104 106 113 117 118 123 127 131 140 148 155 160 166 171 177 179

197 200 205 208 212 217 225 228 231 238 243 247 250 253 259 265

Dances at the competition are organized Into heats, with each heat consisting of a particular group of

dancers doing a particular dance. A portion of the Heat Schedule is given below, with the couples listed for

twelve heats of ChaCha, Rumba, and Swing:

Heat 38

ChaCha

104

118

131

171

183

188

208

247

259

265

Heat 39

Rumba

Heat 44

ChaCha

106

118

131

177

188

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104

117

160

171

177

212

217

228

259

271

Heat 45

Rumba

106

113

160

171

177

Heat 40

Swing

104

118

185

217

225

238

253

259

271

276

Heat 46

Swing

106

140

177

185

217

Heat 41

ChaCha

123

131

148

155

171

200

228

238

259

265

Heat 47

ChaCha

106

123

131

183

197

1

Heat 42

Rumba

118.

123

160

179

194

200

208

228

243

250

Heat 48

Rumba

32 pts 1 Detalls

106

113

123

155

197

208

Heat 43

Swing

117

123

131

140

148

155

179

250

259

276

Heat 49

Swing

106

117

188

208

225

228

183 185 188

276

268

271

194

282/nDashboard

My Citation list

Region I

ChaCha

WordCounter Cou

a) Using the Information from the Heat Schedule provided, complete the following Venn diagram by listing

the competitors' numbers as elements within the appropriate regions based on which dances the competitor

danced in these twelve heats of competition.

Do not use ellipsis, but list each element of the set separated by a comma in numerical order in curty braces that look

like this: (). If the set is empty, type Empty Set without curly braces.

IV.

II.

VII.

Swing

VI.

C12Leam Evolved

Rumba

III.

LIST the elements in each of the following regions in set notation:

VIII.

In-Text Citations

Hint

Find a Class/nb) Now, complete the simplified survey Venn diagram below, Indicating only the cardinality of each region:

ChaCha

IV.

II.

VII.

Swing

VI.

Rumba

TITL

VIII.

Using the Venn diagram with cardinality, answer the following questions:

Notice we are asking for how many leaders danced a particular dance, not their leader number, or even how many times

one leader danced a particular dance.

c) How many leaders didn't compete in any of the three dances?