Texas-instruments TI-73 EXPLORER User Manual Page 58
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52
Chapter 2: Math Operations
7302ENG.DOC CH2 Math Operations, English Julie Hewlett Revised: 07/29/98 11:58 AM Printed: 05/19/99 8:58
AM Page 52 of 32
From a group of 4 items (ABCD), how many ways can you
select 2 of the items if the order does not matter?
Find 4
nCr
2.
:
4
1""
4
2
b
ABCD
AB AC AD
BA
BC BD
CA
CB CD
DA
DB DC
! !
1
"
"
5 5
Returns the factorial of value. value can be an integer or list of
integers between 0 and 69. By definition, 0! = 1.
Factorials are similar to permutations because the order
DOES matter. You can think of 4! as the total number of ways
that 4 items can be arranged.
value
!
Find 4!
:
4
1""
5
b
ABCD
ABCD ABDC ACBD ACDB ADBC ADCB
BACD BADC BCAD BCDA BDCA BDAC
CABD CADB CBAD CBDA CDAB CDBA
DABC DACB DBAC DBCA DCAB DCBA
³
³
4! = 4
Q
3
Q
2
Q
1
AB and BA count
as only one
combination.
4!
4 items taken
2 at a time
combinations of
24 possible arrangements
- Important Information 2
- Interference 2
- AM Page iii of 4 3
- AM Page iv of 4 4
- AM Page v of 4 5
- Operating the Operating the 7
- 8:58 AM Page 2 of 24 8
- Preparing to Use Your 9
- RESET RAM 10
- The Home Screen 11
- Entering Numbers and Other 12
- Characters 12
- 8:58 AM Page 8 of 24 14
- The entry line 14
- Entry Line 15
- 8:58 AM Page 11 of 24 17
- Functions and Instructions 18
- 8:58 AM Page 13 of 24 19
- CATALOGCATALOG 20
- Entering Expressions 21
- 8:58 AM Page 17 of 24 23
- 8:58 AM Page 18 of 24 24
- 8:58 AM Page 19 of 24 25
- Ans=7.14 25
- 8:58 AM Page 20 of 24 26
- 8:58 AM Page 21 of 24 27
- Mode Settings 28
- 8:58 AM Page 23 of 24 29
- Settings 29
- Angle ModeAngle Mode 30
- AM Page 25 of 32 31
- AM Page 26 of 32 32
- Keyboard Math Operations 33
- Percent Percent 35
- Square Square 6 36
- AM Page 31 of 32 37
- Relational Operators 38
- Logic (Boolean) Operators 39
- AM Page 35 of 32 41
- The EQUATION SOLVER Screen 45
- The Equation Variables Screen 45
- EQUATION SOLVER 46
- AM Page 41 of 32 47
- AM Page 42 of 32 48
- Your variable 48
- NUM Menu 50
- AM Page 46 of 32 52
- AM Page 48 of 32 54
- PRB Menu 55
- LOG Menu 60
- AM Page 56 of 32 62
- FractionsFractions 63
- Entering Fractions 64
- Page 59 of 10 65
- Fraction Modes 66
- Decimals 70
- Chapter 3: Fractions 72
- MeasurementMeasurement 73
- ConstantConstant 73
- CalculationsCalculations 73
- CONVERSIONS Menu 74
- Page 69 of 10 75
- Constants 77
- Single ModeSingle Mode 78
- Multiple ModeMultiple Mode 81
- ListsLists 83
- Steps for Creating a List 84
- The List Editor 3 85
- Naming a List 85
- Entering List Elements 87
- Entering Fractional Elements 88
- Dependent Numerical Lists 89
- 84 of 30 90
- A small formula 90
- Categorical Lists 91
- 87 of 30 93
- 89 of 30 95
- 3:ClrList 96
- 6:ClrAllLists 96
- Ls Menu 97
- OPS Menu 98
- Sorting Multiple Lists 100
- 95 of 30 101
- Select( Select( 104
- " 104
- 102 of 30 108
- List braces { } 108
- 103 of 30 109
- 104 of 30 110
- 105 of 30 111
- {4,5,6}+{7,8,9}= 111
- {4+7, 5+8, 6+9}= 111
- {11,13,15} 111
- Page 107 of 20 113
- Deselecting 115
- Functions 115
- Defining a Stat Plot 115
- Page 110 of 20 116
- Selecting Stat Plot Types 117
- Defining Stat Plot Options 118
- Page 113 of 20 119
- Displaying the Stat Plot 120
- Stat Plot Examples 120
- Pictograph Pictograph Î 123
- Bar Graph Bar Graph 124
- Page 119 of 20 125
- Select the 125
- Pie Chart Pie Chart 126
- Histogram Histogram 127
- Box Plot Box Plot 129
- Page 126 of 20 132
- StatisticalStatistical 133
- AnalysesAnalyses 133
- MATH Menu 134
- 9:00 AM Page 129 of 22 135
- 9:00 AM Page 130 of 22 136
- 9:00 AM Page 131 of 22 137
- 9:00 AM Page 132 of 22 138
- CALC Menu 139
- 1 and 2 1 and 2 140
- What Do the Results Mean? 142
- 9:00 AM Page 137 of 22 143
- Manual-Fit Manual-Fit 144
- 9:00 AM Page 139 of 22 145
- 9:00 AM Page 148 of 22 154
- TablesTables 155
- What Is a Table? 156
- Steps for Creating a Table 157
- Setting Up the Table 159
- Displaying the Table 160
- Indpnt=AskIndpnt=Ask 163
- Indpnt=Ask 165
- Editing Editing 166
- Page 161 of 14 167
- Chapter 8: Tables 168
- 9:01 AM Page 163 of 24 169
- Example of Function Graphing 171
- 9:01 AM Page 168 of 24 174
- is selected 174
- is deselected 174
- Selecting a Graph Style 175
- 9:01 AM Page 170 of 24 176
- Setting the Window Format 177
- Defining Window Values 179
- 9:01 AM Page 174 of 24 180
- 6:ZStandard 181
- Displaying a Graph * 183
- CoordOn 184
- Using QuickZoom 185
- ZOOM Menu 187
- ZBox ZBox 188
- 2 and 3 2 and 3 189
- MEMORY Menu 191
- SetFactors SetFactors ( 192
- DrawingDrawing 193
- DRAW Menu 194
- ClrDraw ClrDraw 2 195
- Line( Line( 2 195
- 3 and 4 3 and 4 197
- Program Editor 198
- Shade( Shade( 199
- Circle( Circle( 201
- Text( Text( 2 203
- Pen Pen 205
- POINTS Menu 207
- 1, 2, and 3 1, 2, and 3 208
- 4, 5, and 6 4, 5, and 6 211
- STO Menu 212
- StorePic StorePic 2 213
- You return to the 214
- Graph screen 214
- TrigonometryTrigonometry 215
- TRIG Menu 216
- 2, 4, and 6 2, 4, and 6 217
- Graphing Trig Functions 220
- ANGLE Menu 221
- AM Page 218 of 12 224
- ProgrammingProgramming 227
- AM Page 222 of 32 228
- What Is a Program? 229
- Steps for Creating a Program 229
- Create New Create New 8 230
- AM Page 225 of 32 231
- Begin entering the 231
- Entering Program Commands 232
- CTL Menu 233
- AM Page 228 of 32 234
- If If 8 235
- If-Then If-Then 8 235
- For( For( 8 237
- While While 8 238
- Repeat Repeat 8 238
- End End 8 239
- Pause Pause 8 239
- 9 and 0 9 and 0 240
- IS>( IS>( 8 241
- DS<( DS<( 8 241
- Menu( Menu( 8 242
- SetMenu( SetMenu( 8 243
- AM Page 239 of 32 245
- DelVar DelVar 8 246
- GraphStyle( GraphStyle( 8 246
- I/O Menu 247
- Input 8 " 1 248
- Displaying the Current Graph 249
- AM Page 245 of 32 251
- GetCalc( 8 " 0 253
- Editing Program Commands 254
- AM Page 249 of 32 255
- AM Page 250 of 32 256
- Executing a Program 257
- Debugging a Program 258
- Communication Link 259
- the CBL/CBR 259
- Application 259
- Link Capabilities 260
- The Link SEND Menu 261
- The Link RECEIVE Menu 263
- Transmitting Data Items 264
- DuplicateName Menu 265
- Transmission Error Conditions 266
- Backing Up Memory 267
- Upgrading your 268
- Graph Explorer 268
- Software 268
- The APPLICATIONS Menu 269
- Steps for Running the 270
- CBR Application 270
- MIN and MAX 274
- DIRECTNS (Directions) 274
- DATA LOGGER 275
- #SAMPLES 276
- INTRVL (SEC) 277
- Ymin and Ymax 277
- Data Collection Results 278
- Collecting the Data 279
- Stopping Data Collection 280
- MemoryMemory 281
- ManagementManagement 281
- Resetting All Memory 287
- Resetting Defaults 288
- Function and 289
- Instruction Reference 289
- ReferenceReference 325
- InformationInformation 325
- Menu Map 326
- - f- f (in Program editor) 327
- ÚÄÄÄÄÄÄÄÄÄÄÂÄÄÄÄÄÄÄÄÄÄÄ¿ 328
- ÚÄÄÄÄÄÄÄÄÄÄÄ¿ 328
- ÚÄÄÄÄÄÄÄÄÄÄÄÄÄÂÄÄÄÄÄÄÄÄÄÄÄÄÄ¿ 329
- ÚÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄ¿ 330
- ÚÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄ¿ 330
- - † - † (in Program editor) 333
- ÚÄÄÄÄÄÄÄÄÄÄÄÄÄÄ¿ 334
- The VARS Menu 335
- In Case of Difficulty 337
- Correcting an Error 338
- Error Messages 338
- Battery Information 346
- Replacing the Batteries 347
- Battery Precautions 347
- IndexIndex 351
- Index 352
- Index 353
- 349 of 12 355
- (continued) 361
- Page 1 of 1 363
- PM Page 2 of 2 364
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