Quis gabudz5!+10!=note:kira² sy penzi ato gak yah?minta solusi.​

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Quis gabudz5!+10!=note:kira² sy penzi ato gak yah?minta solusi.​

✏️Detail Jawaban ✍

Mapel : Matematika

Kelas : XII (SMA)

Kode Soal : 2

Kode Kategorisasi : 12.2.7

Materi : Bab 7 Kaidah Pencacahan

Kata Kunci : Faktorial

▶️Pendahuluan :

Faktorial merupakan perkalian bilangan positif yang dikali secara berurutan dengan simbol (n!)

Rumus Faktorial :

n! = n × (n -1)

▶️Pembahasan :

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

▶️Penyelesaian Soal :

5! + 10! = 3.628.920 ✔️

5!

➡ 5 × 4 × 3 × 2 × 1

➡ 20 × 3 × 2 × 1

➡ 60 × 2 × 1

➡ 120 × 1

➡ 120

10!

➡ 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1

➡ 90 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1

➡ 720 × 7 × 6 × 5 × 4 × 3 × 2 × 1

➡ 5.040 × 6 × 5 × 4 × 3 × 2 × 1

➡ 30.240 × 5 × 4 × 3 × 2 × 1

➡ 151.200 × 4 × 3 × 2 × 1

➡ 604.800 × 3 × 2 × 1

➡ 1.814.400 × 2 × 1

➡ 3.628.800 × 1

➡ 3.628.800

✏ 120 + 3.628.800

✏ 3.628.920 ✔️

Jawab:
5! + 10! =
–
5! = 5 × 4 × 3 × 2 × 1
5! = 20 × 3 × 2 × 1
5! = 60 × 2 × 1
5! = 120 × 1
5! = 120
–
10! = 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1
10! = 90 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1
10! = 720 × 7 × 6 × 5 × 4 × 3 × 2 × 1
10! = 5.040 × 6 × 5 × 4 × 3 × 2 × 1
10! = 30.240 × 5 × 4 × 3 × 2 × 1
10! = 151.200 × 4 × 3 × 2 × 1
10! = 604.800 × 3 × 2 × 1
10! = 1.814.400 × 2 × 1
10! = 3.628.800 × 1
10! = 3.628.800
–
–
–
Syukron…