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Permutations:• uvuvuevuevue • enyetuenwuevue• ugbemugbem• osas-Curious​

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

Permutations:

• uvuvuevuevue
• enyetuenwuevue
• ugbemugbem
• osas

-Curious​

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 Factorial\: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:

• uvuvuevuevue = 27.720 word order

• enyetuenwuevue = 60540480 word order

• ugbemugbem = 362.880 word order

• osas = 12 word order

Penjelasan dengan langkah-langkah:

"uvuvuevuevue"

u = 5

v = 4

e = 3

  • Number of letters = 12
  • Double element = letter u(5), letter v(4) and letter e(3)

P = \frac{n!}{k!} = \frac{12!}{5! \times 4! \times 3!} = \frac{479.001.600}{17.280}

\boxed{\tt {{\colorbox{pink}{P = 27.720 word order}}}}

────────────── ೄྀ࿐ ˊˎ-  

"enyetuenwuevue"

e = 5

n = 2

y = 1

t = 1

u = 3

w = 1

v = 1

  • Number of letters = 14
  • Double element = letter e(5), letter n(2) and letter u(3)

P = \frac{n!}{k!} = \frac{14!}{5! \times 3! \times 2!} = \frac{87.178.291.200}{1.440}

\boxed{\tt {{\colorbox{pink}{P = 60.540.480 word order}}}}

────────────── ೄྀ࿐ ˊˎ-  

"ugbemugbem"

u = 2

g = 2

b = 2

e = 2

m = 2

  • Number of letter = 10
  • Double element = all letters have 2 double elements

P = \frac{n!}{k!} = \frac{10!}{2! \times 2! \times 2! \times 2! \times 2!} = \frac{3.628.800}{10}

\boxed{\tt {{\colorbox{pink}{P = 362.880 word order}}}}

────────────── ೄྀ࿐ ˊˎ-  

"osas"

o = 1

s = 2

a = 1

  • Number of letter = 4
  • Double element = letter s(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

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 Factorial\: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:• uvuvuevuevue = 27.720 word order• enyetuenwuevue = 60540480 word order• ugbemugbem = 362.880 word order• osas = 12 word orderPenjelasan dengan langkah-langkah:

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Last Update: Mon, 10 Jan 22
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