Q.. 8!=6!=okehh sekian arigatou

Q.. 8!=6!=okehh sekian arigatou

${hugebfcolor{red}{⬇}} {hugettcolor{blue}{~FAKTORIAL~}}{hugebfcolor{red}{⬇}}$

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$sfcolorbox{red}{pendahuluan :}$

Apa itu faktorial?

– Faktorial adalah perkalian bilangan urut dari angka yang di maksud hingga dikalikan dengan angka

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$colorbox{blue}{Contoh-contoh : Faktorial :}$

1! = 1

2! = 2 × 1 = 2

3! = 3 × 2 × 1 = 6 × 1 = 6

4! = 4 × 3 × 2 × 1 = 12 × 2 = 24

5! = 5 × 4 × 3 × 2 × 1 = 20 × 6 × 1 = 120 × 1 = 120

6! = 6 × 5 × 4 × 3 × 2 × 1 = 30 × 12 × 2 = 360 × 2 = 720

7! = 7 × 6 × 5 × 4 × 3 × 2 × 1 = 42 × 20 × 6 × 1 = 840 × 6 × 1 = 5.040 × 1 = 5.040

8! = 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 = 56 × 30 × 12 × 2 = 1.680 × 24 = 40.320

9! = 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 = 72 × 42 × 20 × 6 × 1 = 3.024 × 120 × 1 = 362.880 × 1 = 362.880

10! = 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 = 90 × 56 × 30 × 12 × 2 = 5.040 × 360 × 2 = 1.814.400 × 2 = 3.628.800

11! = 11 × 10 × 9 × 8 ×7 × 6 × 5 × 4 × 3 × 2 × 1 = 110 × 72 × 42 × 20 × 6 × 1 = 7.920 × 840 × 6 = 6.652.800 × 6 = 39.916.800

12! = 12 × 11 × 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 = 132 × 90 × 56 × 30 × 12 × 2 = 11.880 × 1.680 × 24 = 19.958.400 × 24 = 479.001.600

13! = 13 × 12 × 11 × 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 = 156 × 110 × 72 × 42 × 20 × 6 × 1 = 17.160 × 3.024 × 120 × 1 = 51.891.40 × 120 = 6.227.020.800

14! = 14 × 13 × 12 × 11 × 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 = 182 × 132 × 90 × 56 × 30 × 12 × 2 = 24.024 × 5.040 × 360 × 2 = 121.080.960 × 720 = 87.178.291.200

15! = 15 × 14 × 13 × 12 × 11 × 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 = 210 × 156 × 110 × 72 × 42 × 20 × 6 × 1 = 32.760 × 7.920 × 840 × 6 = 259.459.200 × 5.040 = 1.307.674.368.000

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$colorbox{magenta}{Penyelesaian soal :}$

8! = 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 = 56 × 30 × 12 × 2 = 1.680 × 24 = 40.320

6! = 6 × 5 × 4 × 3 × 2 × 1 = 30 × 12 × 2 = 360 × 2 = 720

Jadi, 8! adalah 40.320 dan 6! adalah 720

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Mapel: Matematika

Kelas: 9

Materi: Kaidah Pencacahan

Kata kunci: Faktorial

❀ Math Evelyn

♡ `ഒ Pendahuluan :

♡ Faktorial ♡
Faktorial adalah perkalian berurutan dari angka yang di faktorial kan ke angka yang sebelumnya sampai angka satu, atau juga bisa perkalian berurutan dari angka satu sampai angka yang di faktorial kan.

₊˚୨ Contoh :

2! = 2 × 1 = 2, atau
2! = 1 × 2 = 2

꒰❝ Rumus Faktorial :
n! = n × ( n – 1 ) × ( n – 2 ) × ( n – 3 ) × 3 × 2 × 1

⚘ Contoh Faktorial

1! = 1 × 1 = 1
2! = 2 × 1 = 2
3! = 3 × 2 × 1 = 6
4! = 4 × 3 × 2 × 1 = 24
5! = 5 × 4 × 3 × 2 × 1 = 120
6! = 6 × 5 × 4 × 3 × 2 × 1 = 720
7! = 7 × 6 × 5 × 4 × 3 × 2 × 1 = 5.040
8! = 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 = 40.320
9! = 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 = 362.880
10! = 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 = 3.628.800

✉ Penyelesaian

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NO. 1

⌦ 8!
⌦ 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1
⌦ 56 × 6 × 5 × 4 × 3 × 2 × 1
⌦ 56 × 30 × 4 × 3 × 2 × 1
⌦ 56 × 30 × 12 × 2 × 1
⌦ 56 × 30 × 12 × 2
⌦ 40.320 ☑

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NO. 2

⌦ 6!
⌦ 6 × 5 × 4 × 3 × 2 × 1
⌦ 30 × 4 × 3 × 2 × 1
⌦ 30 × 12 × 2 × 1
⌦ 30 × 12 × 2
⌦ 720 ☑

↝ Kesimpulan

» 8! = 40.320 «
» 6! = 720 «

Evelyn ~