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QuizPermutations• I'am• Off• ByeeNote: Sorry All I Was Off For

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

QuizPermutations

• I'am
• Off
• Byee

Note: Sorry All I Was Off For 2 Hours, Byee​

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 Faktorial\:Number} & \underline{ \rm Result}\\ \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}

*note: if the result of the factorial number in the box is not visible, swipe to the side

Jawab:

• I'am = 24 word order

• Off = 3 word order

• Byee = 12 word order

Penjelasan dengan langkah-langkah:

"I'am"

i = 1

' = 1

a = 1

m = 1

  • Number of letters = 4
  • Double element = 0

P = n! = 4! = 4 x 3 x 2 x 1

\boxed{\tt {{\colorbox{pink}{P = 24 word order}}}}

────────────── ೄྀ࿐ ˊˎ-  

"off"

o = 1

f = 2

  • Number of letters = 3
  • Double element = letter f(2)

P = \frac{n!}{k!} = \frac{3!}{2!} = \frac{3 \times 2 \times 1}{2 \times 1} = \frac{6}{2}

\boxed{\tt {{\colorbox{pink}{P = 3 word order}}}}

────────────── ೄྀ࿐ ˊˎ-  

"byee"

b = 1

y = 1

e = 2

  • Number of letters = 4
  • Double element = letter e(2)

P = \frac{n!}{k!} = \frac{4!}{2!} = \frac{4 \times 3 \times 2 \times 1}{2 \times 1} = \frac{24}{2}

\boxed{\tt {{\colorbox{pink}{P = 12 word order}}}}

────────────── ೄྀ࿐ ˊˎ-  

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 •I'am  •Off  •Byee and Factorial

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 [tex]P = \frac{n!}{k!}[/tex]➽ 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 =[tex]\begin{gathered} \boxed{ \begin{array}{c|c} \underline{\rm Faktorial\:Number} & \underline{ \rm Result}\\ \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}[/tex]*note: if the result of the factorial number in the box is not visible, swipe to the sideJawab:• I'am = 24 word order• Off = 3 word order• Byee = 12 word orderPenjelasan dengan langkah-langkah:

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Last Update: Mon, 10 Jan 22
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