Banyak susunan kata dari :

Math

• KUCING

K = 1

U = 1

C = 1

I = 1

N = 1

G = 1

Jumlah huruf = 6

Unsur ganda = –

p = n!

= 6!

= 6 × 5 × 4 × 3 × 2 × 1

= 720 susunan

• SANGAT

S = 1

A = 2

N = 1

G = 1

T = 1

Jumlah huruf = 6

Unsur ganda = 2

p = n!/k!

= 6! / 2!

= 6 × 5 × 4 × 3 × 2 × 1 / 2 × 1

= 720/2

= 360 susunan

• LUCU

L = 1

U = 2

C = 1

Jumlah huruf = 4

Unsur ganda = 2

p = n! / k!

= 4! /2!

= 4 × 3 × 2 × 1 / 2 × 1

= 24 / 2

= 12 susunan

Kesimpulan

• Kucing = 720 susunan

• Sangat = 360 susunan

• Lucu = 12 susunan

Jawaban:

banyak susunan kata kucing : 720

banyak susunan kata sangat : 360

banyak susunan kata lucu : 12

– banyak susunan kata kucing : 720

– kucing

k : 1

u : 1

c : 1

i : 1

n : 1

g : 1

banyak huruf = 6

unsur ganda = –

= 6 × 5 × 4 × 3 × 2 × 1

= 720

– banyak susunan kata sangat : 360

– sangat

s : 1

a : 2

n : 1

g : 1

t : 1

banyak huruf = 6

unsur ganda = !2

= 6 × 5 × 4 × 3 × 2 × 1 / ( !2 × !1 )

= 720 / 2

= 360

– banyak susunan kata lucu : 12

– lucu

l : 1

u : 2

c : 1

banyak huruf = 4

unsur ganda = !2

= 4 × 3 × 2 × 1 / ( !2 × !1 )

= 24 / !2

= 12