How to calculate permutations on TI-84 calculator?
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Calculating permutations on a TI-84 calculator can be done using the built-in nPr
(Permutation) function. Here's how you do it:
-
Access the Math Menu: Press the
MATH
button to access the Math menu. -
Select the Permutation Function: Use the arrow keys to navigate to the
PROB
column, and select2:nPr
and pressENTER
. This will open the permutation function.
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-
Enter the Values:
- Enter the total number of items .
- Enter the number of items to arrange .
-
Perform the Calculation: After entering and , press
ENTER
again to calculate the number of permutations.
The calculator will display the result, which is the number of ways to arrange items from a set of items where the order of selection matters.
Here's an example: If you want to calculate the number of permutations for arranging 3 items from a set of 5, you would:
- Press
MATH
to access the Math menu. - Choose
PROB
, select2:nPr
and pressENTER
. - Enter
5
for and3
for . - Press
ENTER
to get the result.
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The TI-84 calculator will then display the number of permutations, which in this case is calculated using the formula
, and for our example, it would be .
Remember that the permutation formula is , where denotes factorial, and is typically less than or equal to . The calculator performs this calculation for you when you use the nPr
function.