Permutasian dari kata:
•CORONA
•SWAP
•NEGATIF
Nomor 1: CORONA
C = 1
O = 2
R = 1
N = 1
A = 1
Banyak huruf (n): 6 huruf
Banyak huruf ganda (k): O = 2
Permutasi:
[tex] \rm P_{ \tiny k}^{ {}^{n} }= \frac{n!}{k!}[/tex]
[tex] \rm P_{ \tiny 2}^{ {}^{6} }= \frac{6!}{2!}[/tex]
[tex] \rm P_{ \tiny 2}^{ {}^{6} }= \frac{6 \times 5 \times 4 \times 3 \times \cancel{2!}}{ \cancel{2!}}[/tex]
[tex] \rm P_{ \tiny 2}^{ {}^{6} }= \underline{6 \times 5} \times \underline{4 \times 3}[/tex]
[tex] \rm P_{ \tiny 2}^{ {}^{6} }=30 \times 12[/tex]
[tex] \rm P_{ \tiny 2}^{ {}^{6} }= \bold{360}[/tex]
[tex] \\ [/tex]
Nomor 2: SWAP
S = 1
W = 1
A = 1
P = 1
Banyak huruf (n) = 4 huruf
Banyak huruf ganda (k) = tidak ada huruf ganda
Permutasi:
[tex]\rm P = n! [/tex]
[tex]\rm P = 4! [/tex]
[tex]\rm P = \underline{ 4 \times 3} \times \underline{2 \times 1}[/tex]
[tex]\rm P =12 \times 2[/tex]
[tex]\rm P = \bold{24}[/tex]
[tex] \\ [/tex]
Nomor 3: NEGATIF
N = 1
E = 1
G = 1
A = 1
T = 1
I = 1
F = 1
Banyak huruf (n) = 7 huruf
Banyak huruf ganda (k) = tidak ada huruf ganda
Permutasi:
[tex]\rm P = n! [/tex]
[tex]\rm P = 7! [/tex]
[tex]\rm P = \underline{7 \times 6} \times \underline{5\times 4} \times \underline{3 \times 2}\times 1[/tex]
[tex]\rm P = \underline{42 \times 20} \times \underline{6 \times 1}[/tex]
[tex]\rm P =\underline{840 \times 6}[/tex]
[tex]\rm P = \bold{5.040}[/tex]
[tex]\large{ \colorbox{lavender}{ \purple{ \boxed{ \green{ \star{ \purple{ \rm{«Penyelesaian \: Soal»: \green{ \star}}}}}}}}}[/tex]
[tex] \: [/tex]
[tex]\huge{ \purple{ \mathfrak{♡Pembahasan♡ : }}}[/tex]
[tex] \: [/tex]
- Permutasi Dari Kata "CORONA " :
C = 1
O = 2
R = 1
N = 1
A = 1
[tex] \: [/tex]
Maka :
- Banyak Huruf = 6
- Unsur Ganda = 2
[tex] \: [/tex]
[tex] \: \: \: \: \: \blue{ \sf{permutasi \: dari \: kata CORONA : }} \\ \sf{ = \frac{n!}{k!} = \frac{6!}{2 } = } \\ \\ \sf{ = \frac{6 \times 5 \times4 \times 3 \times 2 \times 1}{2 \times 1} } \\ \\ \sf{ = \frac{720}{2} } \\ \sf{ = \underline{ \red{360}} \: \: \:\rm{susunan \: kata}}[/tex]
[tex] \\ \\ [/tex]
[tex]\red{ \sf{•°•°•°•°•°•°•°•°•°•°•°•°•°•°•°•°•°•°•°•°•°•°•°•°•°•°•°•°•°•°•°•°•°•}}[/tex]
- Permutasi Dari Kata " Swap "
S = 1
W = 1
A = 1
P = 1
[tex] \: [/tex]
Maka ;
- Banyak huruf = 4
- Unsur Ganda = Tidak Ada ( 0 )
[tex] \: [/tex]
[tex] \: \: \: \: \: \blue{ \sf{permutasi \: dari \: kata \: Swap : }} \\ \sf{ = n! = 4!} \\ \sf{ = 4 \times 3 \times 2 \times 1} \\ \sf{ = 12 \times 2 \times 1} \\ \sf{ = 24 \times 1} \\ \sf{ = \underline{ \red{24}}} \: \: \rm{susunan \: kata}[/tex]
[tex] \\ \\ [/tex]
[tex]\red{ \sf{•°•°•°•°•°•°•°•°•°•°•°•°•°•°•°•°•°•°•°•°•°•°•°•°•°•°•°•°•°•°•°•°•°•}}[/tex]
- Permutasi Dari Kata "NEGATIF "
N = 1
E = 1
G = 1
A = 1
T = 1
I = 1
F = 1
[tex] \: [/tex]
Maka ;
- Banyak Huruf = 7
- Unsur Ganda = tidak ada ( 0 )
[tex] \: [/tex]
[tex] \: \: \: \: \: \: \blue{ \sf{permutasi \: dari \: kata \: NEGATIF : }} \\ \sf{ = n! = 7!} \\ \sf{ = 7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1} \\ \sf{ = 42 \times 5 \times 4 \times 3 \times 2 \times 1} \\ \sf{ = 210 \times 4 \times 3 \times 2 \times 1} \\ \sf{ = 840 \times 3 \times 2 \times 1} \\ \sf{ =2.520 \times2 \times 1 } \\ \sf{ = 5.040 \times 1} \\ \sf{ =\underline{ \red{5.040}}} \: \: \rm{susunan \: kata}[/tex]
[tex] \: [/tex]
#Koreksi-!!
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[tex]_________________________________________________________________________________________________________________________[/tex]
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[tex] \: \: \: \: \: \huge{ \green{ \underbrace{ \purple{ \rm{Learn \: more : }}}}}[/tex]
- soal Permutasi → brainly.co.id/tugas/41913366
- aturan kaidah pencacahan → brainly.co.id/tugas/1778116
- Soal tentang Kaidah pencacahan → brainly.co.id/tugas/2737169
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[tex]_________________________________________________________________________________________________________________________[/tex]
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[tex]\: \: \: \: \: \: \huge{ \purple{ \underbrace{ \blue {\rm{D{ \pink{ \rm{e{ \blue{ \rm{t{ \pink{ \rm{a{ \blue{ \rm{i { \pink{ \rm{l \: { \blue{ \rm{J{ \pink{ \rm{a{ \blue{ \rm{w{ \pink{ \rm{a{ \blue{ \rm{b{ \pink{ \rm{a{ \blue{ \rm{ n~{ \pink{ \rm{ : }}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}[/tex]
- »⟩ Mapel : Matematika
- »⟩ Kelas : XII / 12
- »⟩ Tingkat Pendidikan : Sekolah Menengah Atas ( SMA )
- »⟩ Materi : Permutasi
- »⟩ Bab : 3
- »⟩ Sub Bab : Kaidah Pencacahan
- »⟩ Kode : 2
- »⟩ Kode Kategorisasi : 12.2.3
- »⟩ Kata Kunci : Permutasi, Permutasi dari kata "Corona, Swap dan Negatif"
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#BelajarBersamaBrainly
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[tex] \colorbox{black}{ \blue{ \boxed{ \boxed{ \rm{༆Yoojin࿐}}}}}[/tex]
