Chapter 4

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Chapter 4

Technology






Example T.1: Using a TI-83/84 Plus Calculator to Calculate a Factorial

Use a TI-83/84 Plus calculator to calculate 9! Solution Press , then , and then select PRB and option 4:!. Press .

As you can see in the screenshot on the right, 9! = 362,880.






Example T.2: Using a TI-83/84 Plus Calculator to Calculate the Number of Combinations

Use a TI-83/84 Plus calculator to calculate 15C9. Solution Enter 15, and then press . Next, scroll over to PRB and choose option 3:nCr. Then enter 9 and press .






Example T.2: Using a TI-83/84 Plus Calculator to Calculate the Number of Combinations (cont.)

The screenshot on the right shows that 15C9 = 5005.






Example T.3: Using a TI-83/84 Plus Calculator to Calculate the Number of Permutations

Use a TI-83/84 Plus calculator to calculate 11P4 . Solution First, enter 11 and then press . Next, scroll over to PRB and choose option 2:nPr. Then enter 4 and press .






Example T.3: Using a TI-83/84 Plus Calculator to Calculate the Number of Permutations (cont.)

As shown in the screenshot on the right, 11P4 = 7920.






Example T.4: Using Microsoft Excel to Calculate the Probability of Several Independent Events

A coin is flipped, a die is rolled, and a card is drawn from a deck. Use Microsoft Excel to find the probability of getting a tail on the coin, rolling a 5 on the die, and drawing a heart from the deck of cards. Solution First enter the data in an Excel worksheet as shown here.






Example T.4: Using Microsoft Excel to Calculate the Probability of Several Independent Events (cont.)

Then in cell B4, divide B2 by B3. To do this, type the formula =B2/B3. Copy the formula from cell B4 into C4 and D4. Now the probabilities for each event are listed in row 4. Remember, when events are independent we multiply the probabilities of each event occurring with each other. Therefore, in cell E4, multiply the cells B4 through D4 by typing =B4*C4*D4.






Example T.4: Using Microsoft Excel to Calculate the Probability of Several Independent Events (cont.)

The result, shown in the following screenshot, will be the probability of getting a tail on the coin, a 5 on the die, and drawing a heart from the deck of cards, which is approximately 0.0208.






Example T.5: Using MINITAB to Calculate a Factorial

Use MINITAB to calculate 10! Solution Go to Calc Calculator. ► Type C1 in the box after Store result in variable. Select Factorial under All functions, and then type 10 to replace “number of items” in the expression. Then click OK; the result, 3628800, will be displayed in row 1 of column C1. Thus, 10! = 3,628,800.






Example T.5: Using MINITAB to Calculate a Factorial (cont.)






Example T.6: Using MINITAB to Calculate the Number of Combinations

Use MINITAB to calculate 15C13. Solution Go to Calc Calculator. ► Type C1 in the box after Store result in variable. Select Combinations under All functions. Type 15 to replace “number of items” and type 13 to replace “number to choose” in the expression. Then click OK; the result, 105, will be displayed in row 1 of column C1. Thus, 15C13 = 105.






Example T.6: Using MINITAB to Calculate the Number of Combinations (cont.)






Example T.7: Using MINITAB to Calculate the Number of Permutations

Use MINITAB to calculate 18P7.Solution Go to Calc Calculator. ► Type C1 in the box after Store result in variable. Select Permutations under All functions. Type 18 to replace “number of items” and type 7 to replace “number to choose” in the expression. Then click OK; the result, 160392960, will be displayed in row 1 of column C1. Thus,

18P7 = 160,392,960.






Example T.7: Using MINITAB to Calculate the Number of Permutations (cont.)

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Chapter 4