K permutation and combination – Casio FX-CG10 User Manual
Page 67
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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 Greatest Common Divisor (GCD), Least Common Multiple (LCM)
Example
Operation
To determine the greatest common
divisor of 28 and 35
(GCD (28, 35) = 7)
K6( g) 4(NUMERIC) 6( g) 2(GCD) 28
, 35 )
w
To determine the least common multiple
of 9 and 15
(LCM (9, 15) = 45)
K6( g) 4(NUMERIC) 6( g) 3(LCM) 9
,15 )
w
k Division Remainder (MOD), Remainder of Exponential Division
(MOD_Exp)
Example
Operation
To determine the remainder when 137 is
divided by 7
(MOD (137, 7) = 4)
K6( g) 4(NUMERIC) 6( g) 4(MOD) 137
,7 )
w
To determine the remainder when 5
3
is
divided by 3
(MOD_Exp (5, 3, 3) = 2)
K6( g) 4(NUMERIC) 6( g)
5(MOD_Exp) 5 ,3 ,3 )w
n!
n!
nPr =
nCr =
(n – r)!
r! (n – r )!
n!
n!
nPr =
nCr =
(n – r)!
r! (n – r )!