BOGOTA - COLOMBIA: Carrera 15 No. 73 – 28 Local 123 “Edificio Condor 1” Barrio El Lago-Chapinero. A una cuadra de la estación Trasmilenio de la “Calle...
BOGOTA - COLOMBIA: Carrera 15 No. 73 – 28 Local 123 “Edificio Condor 1” Barrio El Lago-Chapinero. A una cuadra de la estación Trasmilenio de la “Calle 72”. HORARIO DE ATENCION: de lunes a vi…Descripción completa
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permutation and combination
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Last of MohicanesDescrição completa
Descripción: Last of Mohicanes
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thinkiit lecture notes iitjee mathematics
permutation and Combination
1
PLL Corners Only #
U Permutation : a (R U') (R U)2 (R U') (R' U' R2)
Diagram Algorithm A Permutation : a (Lw' U R') D2 (R U' R') D2 R2
01
06
M’2 U M U2 M' U M’2 ’ R U2 (R U)2 R2 U' R' U' R2
2 Rw’ U Rw’ B2 Rw U’ Rw’ B2 Rw2 x R’ U R’ D2 R U’ R’ D2 R2 (OH)
A Permutation : b
’ (Rw U' L) D2 (L' U L) D2 L2
R2 U’ R’ U’ (RU)2 R U’ R M’2 U M' U2 M U M’2
06 A
y’ L Dw2 (R U)2 R2 U' R' U' R2
y2 ( L' R' D2 L U L' D2 L U' R)
02
y R2 U' S' U2 S U' R2 U Permutation : b (R2 U) (R U R' U') (R' U') (R' U R')
x R2 D2 R U R' D2 R U' R (OH) E Permutation 03
Edges Only # Diagram
x' (R U' R') D (R U R') D' (R U R') D (R U' R') D' x
(R U R' U) (R' U' R' U) (R U' R' U') R2 U R U2 04 A
Swapping Two Adjacent Corners & Two Edges # Diagram Algorithm J Permutation : a
(R’ U’ R U’ ) R (U R U’ R’ ) U R U (R2 U’ R’ U ) (OH)
(R' U L') U2 (R U' R' U2) (L R U') 08 y (R' U2 R U) R' U2' (L U' R U L')
H Permutation 05
(M'2 U) (M'2 U2) (M'2 U) M'2 J Permutation : b
L R - U2 - L' R' (y) L' R' - U2 - L R R2 U2 R U2 (R2 U2)2 R U2 R2 (OH)
09
(R U R' F') (R U R' U') (R' F) (R2 U') (R' U') (R U2 R' U') R U2 (L' U R' U' L)
BOGOTA - COLOMBIA:
Carrera 15 No. 73 – 73 – 28 Local 123 “Edificio Condor 1” Barrio El Lago-Chapinero. Lago-Chapinero. A una cuadra de la estación Trasmilenio Trasmilenio de la “Calle 72”.
2
T Permutation : a 10
G Permutation : c
(R U R' U') (R' F) (R2 U') (R' U' R U) (R' F') y2 (L' U' L U') (R2’ U R2 U) (L' U L U') R2 U' R2 (U2)
16
y2 (R2 U' L U2) (R' U L' U') R' U (L R2) U2 L' R2
R Permutation : a
G Permutation : d (R' U2) (R U2) (R' F R U R' U') U') (R' F' R2 U')
11
(R' U' R) y (R'2 Uw R' U) (R U' R Uw' R'2)
(R U R') y' (R'2 Uw' R U') (R' U R' Uw R2)
17 y R2’ F´ (R U R U´) (R´ F´ R U2) R´ U2 R´ F2 R2 y2 (R' U L U') (R' U2 L2 U) R2 U' (L2 R2) U2 L' R2
(L U'2) (L' U'2) (L F' L' U' L U) U) R Permutation : b (L F L'2 U) 12
(y2) (R U2 R' U2) (Lw U' Lw' U') R U Lw U R2 U
F Permutation
(y2) (R U2 R' U2) R B’ R’ U’ R U R B R2 (OH) (R U') (R' U R'2) y (R ( R U R' U' F' Dw) (R'2 F R F')
Permutations Of Two Diagonal Corners & Tw o Edges # Diagram Algorithm (R' U R' Dw') x (Lw' U R' U') (Lw R U') (R' U R U) V Permutation (R U2 R’ U2) (Rw’ F R F’) Rw U’ L’ U R’ U’ L 18
R' U R' U' (y) R' F' - R2 U' R' U R' F R F y’ R’ U’ F’ (T Permutation) (R U R' U') (R' F) (R2 U') (R' U' R U) R’ U R
13
(R' U R' U') y z' (U' R U' R') z R2 x U' (R' U R U) (OH)
y2 (R’ U R U’ ) R2 y’ (R’ U’ R U ) y x (R U R' U') R2
Cycling Three Corners & Three Edges G Permutation : a (R'2 Uw' R U') (R U R' Uw U w R2) y (R U' R') 14
y (R U2 R ’ U2) (L’ U R U’) (L U’ L’ U) R’ U’ L N Permutation : a (R U') (R' U) (Lw U) (F U') (R' F') (R U' R U) (Lw' U R') 19
(R U’ L U’2 R’ U L’)2 U’
F' (R U R' U') (R' F R2’ F) U' (R' U' R U) F' R' N Permutation : b (L' U) (L U') (Rw' U') (F' U) (L F) (L' U L' U') (Rw U' L) 20
’ (L’ U R’ U2 L U’ R)2 U
(R' U R U') (R' F') U' (F R) U (R' F R' F') R U' R
y2 R2’ F2 (R U2)2 (R' F R U) (R' U' R' F) R2 Y Permutation G Permutation : b 15
(R'2 Uw R' U) (R' U' R Uw') R'2 y' (R' U R) y R' U2 R2 U2’ (R2 U')2 R2 U2’ L U' (R U L' U)
BOGOTA - COLOMBIA:
21
(F R U') (R' U' R U) (R' F') (R U R' U') (R' F R F') (R2 U' R2’ U' R2 U) F U F' (R2 ’ F) U' F' (R2 U’ R2 U’) R2 Dw R U R’ B2 R U’ R’ (OH)
y‘ R’ U’ R U’ (L U’2 R’ U’2 L’ U’2 ) R U’ L U’ L’
Carrera 15 No. 73 – 73 – 28 Local 123 “Edificio Condor 1” Barrio El Lago-Chapinero. Lago-Chapinero. A una cuadra de la estación Trasmilenio Trasmilenio de la “Calle 72”.
