2! × 3! + 4! - 3! = ....
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2!
[tex] = 2 \times 1[/tex]
[tex] = 2[/tex]
3!
[tex] = (3 \times 2) \times 1[/tex]
[tex] = 6 \times 1[/tex]
[tex] = 6[/tex]
4!
[tex] = (4 \times 3) \times 2 \times 1[/tex]
[tex] = (12 \times 2) \times 1[/tex]
[tex] = 24 \times 1[/tex]
[tex] = 24[/tex]
[tex](2 \times 6) + 24 - 6[/tex]
[tex] = (12 + 24) - 6[/tex]
[tex] = 36 - 6[/tex]
[tex] = 30[/tex]
Detail Jawaban :
Mapel : Matematika
Kelas : 12
Tingkat : SMA
Bab : 7 Kaidah Pencacahan
Materi : Faktorial
Kode Mata Pelajaran : 2
Kode Kategorisasi : 12.2.7
Kata Kunci : Hasil dari 2! × 3! + 4! - 3!
#SemangatBelajar
Penyelesaian
2! × 3! + 4! - 3! =
= (2 × 1) × (3 × 2 × 1) + (4 × 3 × 2 × 1) - (3 × 2 × 1)
= 2 × (6 × 1) + (12 × 2 × 1) - (6 × 1)
= 2 × 6 + (24 × 1) - 6
= (2 × 6) + 24 - 7
= 12 + 24 - 6
= 36 - 6
= 30
#Nella-!
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