Q.6!3!+5!=nt : Minggu nolep​

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Q.6!3!+5!=nt : Minggu nolep​

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 bulat positif yang berkonotasi dengan menggunakan tanda (n!).

✏️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

▶️Pembahasan :

6! = 120

=> 6 × 5 × 4 × 3 × 2 × 1

=> 30 × 4 × 3 × 2 × 1

=> 120 × 3 × 2 × 1

=> 360 × 2 × 1

=>720 × 1

=> 720 ✔️

3! + 5! = 126

=> (3 × 2 × 1) + (5 × 4 × 3 × 2 × 1)

=> (6 × 1) + (20 × 3 × 2 × 1)

=> 6 + (20 × 3 × 2 × 1)

=> 6 + 60 × 2 × 1

=> 6 + (120 × 1)

=> 6 + 120

=> 126 ✔️

#Belajar bersama Brainly

Soal:

6!

3!+5!=

Jawab:

6! = 1 x 2 x 3 x 4 x 5 x 6 = 720

3! + 5! =

3! = 1 x 2 x 3 = 6

5! = 1 x 2 x 3 x 4 x 5 = 120

6 + 120 = 126

Semoga membantu

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