QUIZ!!

By Posted on

1.) Tentukan Permutasi Dari kata
– Meeii
– Adiraa
– Danieel

__
cara kka •-•​

QUIZ!!

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♨MATH♨

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✎⃞   Pembahasan ✧˖°

✠Pertanyaan✎

1.) Tentukan Permutasi Dari kata

– Meeii

– Adiraa

– Danieel

ᬁPenyelesaian﴿

➜ Nomor 1.

Kata " Meeii "

M = 1

E = 2

I = 2

  • Banyak Unsur = 5
  • Unsur Ganda = E : 2 , I : 2

P = N! / K!

P = 5! / 2! × 2!

sf{ = frac{5 times 4 times 3 times 2 times 1}{(2 times 1) times (2 times 1)}}

sf{ = frac{120}{4}}

= sf{ red{30 : : susunan}}

➜ Nomor 2.

Kata " Adiraa "

A = 3

D = 1

I = 1

R = 1

  • Banyak Unsur = 6
  • Unsur Ganda = A : 3

P = N! / K!

P = 6! / 3!

sf{ = frac{6 times 5 times 4 times 3 times 2 times1 }{3 times 2 times 1}}

sf{ = frac{720}{3}}

= sf{ purple{240 : : : susunan}}

➜ Nomor 3.

Kata " Danieel "

D = 1

A = 1

N = 1

I = 1

E = 2

L = 1

  • Banyak Unsur = 7
  • Unsur Ganda = E : 2

P = N! / K!

P = 7! / 2!

sf{ = frac{7 times 6 times 5 times 4 times 3 times 2 times 1}{2 times 1}}

= sf{ frac{5.040}{2} }

= sf{ blue{2.520 : : : susunan}}

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largett pink{ overbrace{ underbrace purple{answered : by : : : jesikanai698}}}

boxed{ tt{ color{skyblue}{i : hope : this : helps : : : : )}}}

Jawaban:

1.) Permutasi Dari kata "Meeii"

M = 1

E = 2

I = 2

Total : 5 huruf

P = Total Huruf/Huruf ganda

P = 5!/2!.2!

P = 120/30

P = 30 Susunan

2.) Permutasi Dari kata "Adiraa"

A = 3

D = 1

I = 1

R = 1

Total : 6 Huruf

P = Total huruf/huruf ganda

P = 6!/3!

P = 720/3

P = 240 susunan

3.) Permutasi Dari kata "Danieel"

D = 1

A = 1

N = 1

I = 1

E = 2

L = 1

Total : 7 huruf

P = Total huruf/huruf ganda

P = 7!/2!

P = 5040/2

P = 2520 Susunan

tt red{maaf : kalau : salah}