9!
8!
7!
Jawab yang benar
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Jawaban:
Pendahuluan :
✿ Faktorial adalah sebuah perkalian yang berurutan dan diawali dari angka yang dimaksud sampai dengan angka 1, faktorial mempunyai simbol yaitu tanda seru (!).
Contoh :
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 :
9! = 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1
= 72 × 7 × 6 × 5 × 4 × 3 × 2 × 1
= 504 × 6 × 5 × 4 × 3 × 2 × 1
= 3.024 × 5 × 4 × 3 × 2 × 1
= 15.120 × 4 × 3 × 2 × 1
= 60.480 × 3 × 2 × 1
= 181.440 × 2 × 1
= 362.880 × 1
= 362.880
8! = 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1
= 56 × 6 × 5 × 4 × 3 × 2 × 1
= 336 × 5 × 4 × 3 × 2 × 1
= 1.680 × 4 × 3 × 2 × 1
= 6.720 × 3 × 2 × 1
= 20.160 × 2 × 1
= 40.320 × 1
= 40.320
7! = 7 × 6 × 5 × 4 × 3 × 2 × 1
= 42 × 5 × 4 × 3 × 2 × 1
= 210 × 4 × 3 × 2 × 1
= 840 × 3 × 2 × 1
= 2.520 × 2 × 1
= 5.040 × 1
= 5.040
Kesimpulan :
9! = 362.880
8! = 40.320
7! = 5.040
Pelajari lebih lanjut :
" Tentang Faktorial
• https://brainly.co.id/tugas/11267298
• https://brainly.co.id/tugas/23103696
Detail jawaban :
❐ Kelas : 12
❐ Mapel : Matematika
❐ Materi : Bab 7 - Kaidah pencacahan
❐ Kode Kategorisasi : 12.2.7
❐ Kata Kunci : Faktorial
