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Banyak susunan huruf yang dapat dibentuk dari kata "OTOMOTIF" adalah ….

Rani Maharani

Soal

Jawab:

OTOMOTIF

Banyak huruf = 8

Banyak susunan = 8! = 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = 40.320 susunan

PENJELASAN

Penjelasan tersebut adalah untuk menghitung banyaknya susunan huruf yang dapat dibentuk dari kata "OTOMOTIF" dengan menggunakan prinsip permutasi.

Pertama-tama, dihitung jumlah huruf yang ada dalam kata "OTOMOTIF", yaitu sebanyak 8 huruf. Kemudian, digunakan rumus permutasi, yaitu n!, dimana n adalah jumlah objek yang akan diatur susunannya. Sehingga, banyaknya susunan huruf yang dapat dibentuk dari kata "OTOMOTIF" adalah 8! atau 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = 40.320 susunan.

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