Matematika Sekolah Menengah Atas QUIZJika huruf "MERDEKA BELAJAR" dipermutasikan, ada berapa permutasi yang mungkin?​

maurineconnellyulv – March 10, 2023

QUIZ

Jika huruf "MERDEKA BELAJAR" dipermutasikan, ada berapa permutasi yang mungkin?​

Jawaban

Merdeka

M = 1

e = 2

r = 1

d = 1

k = 1

a = 1

Total huruf : 7

Unsur ganda : 2

7! : 2 =

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

= 5.040×1

= 5.040

5.040 : 2 = 2.520

Jadi, jawabannya adalah 2.520

Belajar

B = 1

e = 1

l = 1

a = 2

j = 1

r = 1

Total huruf = 7

Unsur ganda = 2

7! : 2 =

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

= 5.040×1

= 5.040

5.040 : 2 = 2.520

Jadi, jawabannya adalah 2.520

#OnePiece#

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