1. Sekolah Dasar
  2. Sekolah Menengah Pertama
  3. Sekolah Menengah Atas
  4. Mata Pelajaran
  5. Programming

QuizPermutations- Malay- Indonesia- SimilarNote: What is why Malay is very

Berikut ini adalah pertanyaan dari HasbiKinanUmari pada mata pelajaran Matematika untuk jenjang Sekolah Menengah Pertama

QuizPermutations

- Malay
- Indonesia
- Similar

Note: What is why Malay is very similar to Indonesian?​
QuizPermutations- Malay- Indonesia- SimilarNote: What is why Malay is very similar to Indonesian?​

Jawaban dan Penjelasan

Berikut ini adalah pilihan jawaban terbaik dari pertanyaan diatas.

Explanation:

Permutations are different arrangements or sequences that are formed from part or all of the objects.

⚘ The formula for permutations without double elements is P = n!

⚘ The formula for permutations with multiple elements is P = \frac{n!}{k!}

⚘ The formula for a cyclical permutation is (n – 1)!

**

A combination is a collection of some or all objects regardless of their order.

⚘ The formula for the combination is C(n, r) = n!/(r! (n – r)!

**

Factorial, which is sequential multiplication and starts or starts from the number 1 to the number in question, so the factorial of a natural number is the result of multiplying positive integers and less than or also with n.

Example factorial =

\begin{gathered} \boxed{ \begin{array}{c|c} \underline{\rm Bilangan\:Faktorial} & \underline{ \rm Jawaban}\\ \rm1!&\rm 1 \\ \rm 2! & \rm 2\times1=2\\ \rm 3! & \rm 3\times2\times1=6\\ \rm4! & \rm 4\times3\times2\times1=24\\ \rm 5! & \rm 5\times4\times3\times2\times1=120\\ \rm 6! &\rm 6\times5\times4\times3\times2\times1=720\\ \rm 7! &\rm 7\times6\times5\times4\times3\times2\times1=5.040\\ \rm 8! &\rm 8\times7\times6\times5\times4\times3\times2\times1=40.320\\ \end{array}}\end{gathered}

Jawab:

- Malay =  60 word order

- Indonesia = 90.720 word order

- Similar = 2.520 word order

Penjelasan dengan langkah-langkah:

"Malay"

m = 1

a = 2

l = 1

y = 1

  • Number of letters = 5
  • Double element = letter a(2)

P = \frac{n!}{k!} = \frac{5!}{2!} = \frac{5 \times 4 \times 3 \times 2 \times 1}{2 \times 1} = \frac{120}{2}

\boxed{\tt {{\colorbox{pink}{P = 60 word order}}}}

────────────── ೄྀ࿐ ˊˎ-    

"Indonesia"

i = 2

n = 2

d = 1

o = 1

e = 1

s = 1

a = 1

  • Number of letters = 9
  • Double element = letter i(2) and letter n(2)

P = \frac{n!}{k! \times k!} = \frac{7!}{2! \times 2!} = \frac{9 \times 8 \times 7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1}{2 \times 1 \times 2 \times 1} = \frac{362.880}{4}

\boxed{\tt {{\colorbox{pink}{P = 90.720 word order}}}}

────────────── ೄྀ࿐ ˊˎ-    

"Similar"

s = 1

i = 2

m = 1

l = 1

a = 1

r = 1

  • Number of letters = 7
  • Double element = letter i(2)

P = \frac{n!}{k!} = \frac{7!}{2!} = \frac{7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1}{2 \times 1} = \frac{5.040}{2}

\boxed{\tt {{\colorbox{pink}{P = 2.520 word order}}}}

────────────── ೄྀ࿐ ˊˎ-  

*note: Sorry if I often answer your Quiz :(  

Learn More:

Answer Details:

Subjects: Mathematics

Class: 12 High School

Material: Chapter 7-rules of counting

Categorization Code: 12.2.7

Keywords: Permutations of the word "Malay", "Indonesia", "Similar" and Factorial

Semoga dengan pertanyaan yang sudah terjawab oleh ayumiathifa475 dapat membantu memudahkan mengerjakan soal, tugas dan PR sekolah kalian.

Apabila terdapat kesalahan dalam mengerjakan soal, silahkan koreksi jawaban dengan mengirimkan email ke yomemimo.com melalui halaman Contact

Last Update: Tue, 11 Jan 22
<< Previous Post
Next Post >>