Permutasi dari kata :- Ayolah- Jangan Ngambek- Aku minta maaf(｡>﹏<｡)

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Permutasi dari kata :- Ayolah- Jangan Ngambek- Aku minta maaf(｡>﹏<｡)

Jawab:

-Susunan Kata Dari "Ayolah"

A = 2
Y = 1
O = 1
L = 1
H = 1

Total huruf; 6

huruf ganda: A = 2

$tt=frac{6!}{2!}$

$tt=frac{6times5times4times3times2}{2}$

$tt=frac{720}{2}$

$tt=360:Susunan$

–

– Susunan Kata dari "JanganNgambek"

J = 1
A = 3
N = 3
G = 2
M = 1
B = 1
E = 1
K = 1

Total huruf; 13

huruf ganda: A = 3, N = 3, G = 2

$tt=frac{13!}{3!times3!times2!}$

$tt=frac{13times12times11times10times9times8times7times6times5times4times3times2}{3times2times3times2times2}$

$tt=frac{6227020800}{72}$

$tt=86.486.400:Susunan$

–

– Susunan kata dari "Akumintamaaf"

A = 4
K = 1
U = 1
M = 2
I = 1
N = 1
T = 1
F = 1

Total huruf; 12

huruf ganda; A =4, M = 2

$tt=frac{12!}{4!times2!}$

$tt=frac{12times11times10times9times8times7times6times5times4times3times2}{4times3times2times2}$

$tt=frac{479001600}{48}$

$tt=9.979.200:susunan$

Math permutasi~

____________________

Ayolah

A = 2

Y = 1

O = 1

L = 1

H = 1

Total huruf = 6

Unsur ganda = 2

6!/2!

= 720/2

= 360 susunan

Jangan Ngambek

J = 1

A = 3

N = 3

G = 2

M = 1

B = 1

E = 1

K = 1

Total huruf = 13

Unsur ganda = 3!.3!.2!

13!/3!.3!.2!

= 6.227.020.800/72

= 86.486.400 susunan

Aku minta maaf

A = 4

K = 1

U = 1

M = 2

I = 1

N = 1

T = 1

F = 1

Total huruf = 12

Unsur ganda = 4!.2!

12!/4!.2!

= 479.001.600/48

= 9.979.200 susunan

=) pembahasan

Permutasi adalah Penyusunan Kembali Kata Dengan Kaidah Yang Berbeda / Susunan Yang Berbeda.

Rumus Permutasi

Jika tidak ada unsur ganda p = n!

Jika ada unsur ganda p = n!/k!

P = permutasi

N = total huruf

K = Unsur ganda

! = faktorial

Detail jawaban~

Mapel = matematika

Tingkat = sma

Materi = kaidah pencacahan

Bab = 7

Kata kunci = permutasi dari kata "Ayolah" "jangan ngambek" "aku minta maaf"