LAB 7: Graphing Calculator: Calculating Permutations and Combinations
Use a graphing calculator in Grade 10 to compute permutations nPr and combinations nCr using built-in functions, applying these to count arrangements and selections in probability.
Key Concepts
New Concept ${} {n}P {r}$ is read "the permutation of n things taken r at a time.".
What’s next Next, you will use a graphing calculator to find values for both permutations (${} {n}P {r}$) and combinations (${} {n}C {r}$).
Common Questions
How do you calculate 8P3 on a graphing calculator?
Type 8, then press MATH → PRB → nPr, then type 3 and press ENTER. The result is 8P3 = 8!/(8-3)! = 336.
What is the difference between a permutation and a combination?
Permutations count ordered arrangements (order matters). Combinations count selections where order does not matter. 3P2=6 but 3C2=3 because each combination generates 2! permutations.
How do you calculate 10C4 on a graphing calculator?
Type 10, press MATH → PRB → nCr, type 4, press ENTER. Result: 10C4 = 10!/(4!×6!) = 210.