:b - Universityku

Kuiss!, (100/2 points)
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1.) Susunan kata dari;
– AWMSNIPER
– SameShark

:b

Jawaban:

$sf{1.} text{ 362.880 susunan}$

$sf{2.} text{ 90.720 susunan}$

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Pembahasan:

$text{No. 1}$

• Diketahui:

A = 1

W = 1

M = 1

S = 1

N = 1

I = 1

P = 1

E = 1

R = 1

Total = 9

– – –

• Ditanya:

susunan kata (permutasi)?

– – –

• Dijawab

$begin{gathered} begin{aligned} text{P} & = 9! \ text{P}&= (9 times 8 times 7 times 6 times 5 times 4 times 3 times 2) \ text{P}& = 2^{7}times 3^{4}times 5times 7 \ text{P}& = boxed{362.880} end{aligned}end{gathered}$

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$text{No. 2}$

• Diketahui:

S = 2

A = 2

M = 1

E = 1

H = 1

R = 1

K = 1

Total = 9

– – –

• Ditanya:

susunan kata (permutasi)?

– – –

• Dijawab:

$begin{gathered} begin{aligned} text{P} & = frac{9!}{ 2! times 2! } \ text{P} &= frac{9 times 8 times 7 times 6 times 5 times 4 times 3 times 2}{ {2}^{2} } \ text{P} & = frac{2^{7}times 3^{4}times 5times 7}{ {2}^{2} } \ text{P} & = 2^{7 - 2}times 3^{4}times 5times 7 \ & = 2^{5}times 3^{4}times 5times 7 \ text{P} & = boxed{90.720} end{aligned}end{gathered}$

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Detail Jawaban:

□ Mapel : Matematika

□ Kelas : XII – SMA

□ Kode soal : 2

□ Kode kategorisasi : 12.2.7

□ Materi : Bab 7 – Kaidah pencacahan

□ Kata kunci : Permutasi, Susunan kata "AWMSNIPER", Susunan kata "SameShark"

Jawaban:

1. 362.880 Susunan

2. 90.720 Susunan

Penjelasan dengan langkah-langkah:

Di gambar

Gambar Jawaban