Quiz spesialPermutasi dari kata :-Rasya-ditolak-cewek
Jawaban :
- Permutasi dari kata "Rasya" adalah 60 susunan.
- Permutasi dari kata "Ditolak" adalah 5.040 susunan.
- Permutasi dari kata "Cewek" adalah 12 susunan.
Penyelesaian :
- "Rasya" :
R = 1
A = 2
S = 1
Y = 1
———- +
- Total huruf : 5
- Unsur ganda : 2(A)
P = Total huruf! / Unsur ganda!
P = 5! / 2!
P = (5 × 4 × 3 × 2 × 1) / (2 × 1)
P = 120 / 2
P = 60 Susunan
- "Ditolak" :
D = 1
I = 1
T = 1
O = 1
L = 1
A = 1
K = 1
———– +
- Total huruf : 7
- Unsur ganda : –
P = Total huruf!
P = 7!
P = 7 × 6 × 5 × 4 × 3 × 2 × 1
P = 5.040 Susunan
- "Cewek" :
C = 1
E = 2
W = 1
K = 1
———- +
- Total huruf : 4
- Unsur ganda : 2(E)
P = Total huruf! / Unsur ganda!
P = 4! / 2!
P = (4 × 3 × 2 × 1) / (2 × 1)
P = 24 / 2
P = 12 Susunan
________________________
Soal→
Permutasi dari kata :
-Rasya
-ditolak
-cewek
________________________
Cara→
–
Rasya
–
R = 1
A = 2
S = 1
Y = 1
–
Banyak unsur = 5
Unsur ganda = 2 (A
P = N!/K!
P = 5!/2!
P = (5×4×3×2×1)/(2×1)
P = 120/2
P = 60
ditolak
–
D = 1
I = 1
T = 1
O = 1
L = 1
A = 1
K = 1
–
Banyak unsur = 7
Unsur ganda = –
–
P = N!
P = 7!
P = 7 × 6 × 5 × 4 × 3 × 2 × 1
P = 5.040
cewek
–
C = 1
E = 2
W = 1
K = 1
–
Banyak unsur = 5
Unsur ganda = 2 (E)
–
P = N!/K!
P = 5!/2!
P = (5×4×3×2×1)/(2×1)
P = 120/2
P = 60
________________________
Jawaban→
Jadi, permutasi dari kata:
• Rasya = 60 susunan
• ditolak = 5.040 susunan
• cewek = 60 susunan
________________________
I Hope This Helps:)