Texas Instruments TI-36X How many ways can you deal 5 cards from a deck of 52 cards?, 52 nCr

Page 35

³

 

 

Problem

Compute

n!

 

 

where n=52 and r=5.

 

r!(n-r)!

 

 

 

5 2 %6""

nPr nCr,-/! Þ

 

 

 

 

V

52! ,-/ß

 

 

 

 

=N5 %6""V<

52!ñ(5!è(52

N5 2 ;5 O%6""O

2598960,-/.

V

 

 

 

 

 

 

 

 

 

You no doubt recognize the above formula to find the number of possible combinations of n objects taken r at a time without replacement. You can obtain this result more directly by using nCr on the Probability menu.

³

Problem

How many ways can you deal 5 cards from a deck of 52 cards?

5 2 %6"

nPr nCr,-/! Þ

 

 

 

 

 

 

5 V

52 nCr 5

ß

 

 

2598960,-/.

 

 

 

 

 

 

 

 

 

There are 2598960 ways to deal 5 cards from a deck of 52 cards.

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Ti36eng1.doc TI-36X II Manual Linda Bower Revised: 01/10/03 10:47 AM Printed: 01/10/03 10:47 AM Page 33 of 48

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Contents Scientific Calculator TI-36X ýTable of Contents Alternate Functions Turning the Calculator On and OffScrolling DisplayPress Vwhile the item is underlined. Or MenusFix Key Action Clearing, Correcting, and ResettingDisplay Indicators Order Evaluation Order of OperationsExpression Basic OperationsLast Answer Divides5è9+6-2,-/ø 5è9+6-2 ßF0123456789 Ansñ8.7 ß 5è2+Ans ß 118.390805 5è29Mining company mines 5000 tons of ore having a PercentAns 4F 34D Fractions³Examples 4 ñ5Ì64 Exponents, Roots, and ReciprocalsÌ49 I2 M5 + 4 I6 M7 Zdisplays the Numeric Notation mode menuNotation Pè5 314Memory From the first pit 29.4 million cu.m. and 41.16 million 0 SV0 SV 340 è610 B 150 èBPress Vto save the operation to memory Stored OperationsPress %bor %c Examples Ln9.453 LogarithmsLog =2.718281828495R4 7 5 OV J0 I0 0 0 1 5 SVR3 4 0 OV I7 3 9 1 OV Sin 0.7391 Þß Trigonometric FunctionsO%t4 Cos30 SinAns ß 3ñAns ß Sin- 7ñAns ß Tan- 3ñ7 ß5 4 /3 Angle ModesË. It also lets you convert an angle to DMS Notation 4DMS Two adjacent angles measure 12é31ê45ëandSin30 é You can override the Angle Mode with the /keyE3 0 OV Sin304P q3,4 Rectangular/PolarGiven the hyperbolic function =3coshx-1 When x=2, y=4.63 when x=5, y=81.92Hyperbolic Functions Mdisplays a menu of hyperbolic functionsMetric Conversions 78.5 é C ÞéF ß Km ò mileNJ1 1 7 O #7 8 I5Per kilogram Physical ConstantsSpeed of light 299792458 meters per second Ideal gas constant 8.314472 Joules per mole KelvinHeight of the building is 60 meters or 197 feet H N a R ÞAns m Þft Integrals 5707963274 ProblemProbability Press %6to access a menu of functions52 nCr How many ways can you deal 5 cards from a deck of 52 cards?Statistics LIN, LN, EXP, or PWR, enter the value of Y and press $ 2-VAR Sx or Sy÷x or ÷y ÷xy72 5 0 3 $4 6 I5 ³ProblemCountry GDP/CapX5.68 ÷xy a b r Þ6 9 5 OV%t2 Y10695Xor Press -to access a menu of Boolean Logic operationsBoolean Logic Operations Perform the operations 9 and 2, 9 or 2, and 9 XORNumber system modes are second functions of keys Number-System ModesDEG 57b Complex Numbers~4 5 6 1 2 5 DEG%i1 4 OV Oct, range 0-3777777777, 4000000001 Error ConditionsYou attempted to divide by Statistics, n=1 Stat Case of Difficulty Battery ReplacementMail address Service InformationTI Product and Services Information Service and Warranty Information

TI-36X specifications

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