Function Calculations
kPermutation (nPr) and Combination (nCr)
uTotal Number of Permutations
n!
nPr =
(n – r)!
uTotal Number of Combinations
n!
nCr =
r! (n – r)!
Problem | Use this keyboard: |
| Operation | |||
|
|
|
| |||
mth | abc | cat | 2D | |||
|
| |||||
|
|
|
|
|
| |
How many different | CALC |
| Func |
| } 10 ,4 w | |
permutations are possible |
|
|
|
|
| |
when you have 10 different |
|
|
|
|
| |
objects and arrange them |
|
|
|
|
| |
four at a time? |
|
|
|
|
| |
10P4 = 5040 |
|
|
|
|
| |
|
|
|
|
|
| |
How many different | CALC |
| Func |
| { 10 ,4 w | |
combinations are possible |
|
|
|
|
| |
when you have 10 different |
|
|
|
|
| |
objects and remove four at |
|
|
|
|
| |
a time? |
|
|
|
|
| |
10C4 = 210 |
|
|
|
|
| |
|
|
|
|
|
| |
kCondition Judgment (judge, piecewise)
The “judge” function returns TRUE when an expression is true, and FALSE when it is false.
Problem |
| Use this keyboard: |
|
| Operation | ||
|
|
|
|
|
| ||
| mth | abc | cat | 2D |
| ||
|
|
|
| ||||
|
|
|
|
|
| ||
Is the following expression |
|
| Func |
| [judge] 1 =1 w | ||
true or false? |
|
|
|
|
|
|
|
1 = 1 | TRUE |
|
|
|
|
|
|
|
|
|
|
|
|
| |
Is the following expression |
|
| Func |
| [judge] 1 | 0 w | |
true or false? |
|
|
|
|
|
|
|
1 < 0 | FALSE |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
20021201