Ques Tentukan bnyak susunan dari kata:”Spongebob””patrick””sandy”
Jawaban:
Spongebob = 9!
Unsur Ganda = 2! x 2!
P = Jumlah Unsur / Unsur Ganda
P = 9! / 2! x 2!
P =(9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1) / (2 x 1) x (2 x 1)
P = 9 x 8 x 7 x 6 x 5 x 3 x 2
P = 90.720 Susunan Kata
_____________
Patrick = 7!
Unsur Ganda = Tidak Ada
P = Jumlah Unsur / Unsur Ganda
P = (7 x 6 x 5 x 4 x 3 x 2 x 1) / –
P = 5.040 Susunan Kata
______________
Sandy = 5!
Unsur Ganda = Tidak Ada
P = Jumlah Unsur / Unsur Ganda
P = 5! / Tidak Ada
P = 5 x 4 x 3 x 2 x 1
P = 20 x 6
P = 120 Susunan Kata
_______________
-Quiz
JAWABAN :
SPONGEBOB
Banyak Unsur = 9!
Unsur Ganda = 2! dan 2!
Banyak Unsur / Unsur Ganda
9! / 2! / 2!
= (9×8×7×6×5×4×3×2×1) / (2×1) / (2×1)
= 362.880 / 2 / 2
= 181.440 / 2
= 90.720 Susunan Kata✅
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PATRICK
Banyak Unsur = 7!
Unsur Ganda = 0
Banyak Unsur / Unsur Ganda
7!
= (7×6×5×4×3×2×1)
= (42×5×4×3×2×1)
= (210×4×3×2×1)
= (840×3×2×1)
= (2.520×2×1)
= 5.040 Susunan Kata✅
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SANDY
Banyak Unsur = 5!
Unsur Ganda = 0
Banyak Unsur / Unsur Ganda
5!
= (5×4×3×2×1)
= (20×3×2×1)
= (60×2×1)
= 120 Susunan Kata✅