K permutation and combination, K fractions – Casio SERIES FX-9860G User Manual
Page 93
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2-4-10
Function Calculations
k Permutation and Combination
u Permutation
u Combination
• Be sure to specify Comp for Mode in the Setup screen.
Example 1 To calculate the possible number of different arrangements using 4
items selected from among 10 items
Formula
Operation
10
P
4
= 5040
10
K6(g)3(PROB)2(
n
P
r
)4
w
Example 2 To calculate the possible number of different combinations of 4 items
that can be selected from among 10 items
Formula
Operation
10
C
4
= 210
10
K6(g)3(PROB)3(
n
C
r
)4
w
k Fractions
How you should input fractions depends on the input mode that is currently selected.
Improper Fraction
Mixed Fraction
Math input mode
Linear input mode
Numerator
Denominator Integer Part
Denominator
Numerator
• For information about the Math input mode, see “Input Operations in the Math Input Mode”
on page 1-3-10.
• Fraction calculation results are always reduced before being displayed.
n!
n!
nPr =
nCr =
(n – r)!
r! (n – r)!
n!
n!
nPr =
nCr =
(n – r)!
r! (n – r)!
7
3
1
3
2
7 { 3
2 { 1 { 3
(
$7c3)
(
1$(()2e1c3)
(
7$3)
(
2$1$3)
7
3
1
3
2
7 { 3
2 { 1 { 3
(
$7c3)
(
1$(()2e1c3)
(
7$3)
(
2$1$3)