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12! - 11! - 10! - 9!
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Rules:
Pake Cara
No Ngasal
Rapi.
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So prend, sekedar info klo misal ni akun ke hack, jdi klo msl ad yg aneh² diluar tanggung jawab Haf yh.. (dr Haf)
:•. Pembahasan
Faktorial merupakan suatu perkalian yang saling berurutan mulai dari faktor nilai n sampai dikali 1 ataupun sebaliknya. Faktorial ditandakan dengan tanda seru (!).
Bentuk Umum :
- n(n - 1)! atau n × ... × 1
Contoh :
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
12! - 11! - 10! - 9!
= (12 × 11 × 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1) - (11 × 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1) - (10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1) - (9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1))
= 479.001.600 - 39.916.800 - 3.628.800 - 362.880
= 439.084.800 - 3.628.800 - 362.880
= 442.713.600 - 362.880
= 442.350.720
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:•. Kesimpulan
- Hasil dari 12! - 11! - 10! - 9! adalah 442.350.720
:•. Detail Jawaban
Mapel : Matematika
Kelas : 12 SMA
Materi : Kaidah pencacahan dan Faktorial
Bab : 7
Kode Soal : 2
Kode kategorasi : 12.2.7
faktorial
.
12!
= 12×11×10×9×8×7×6×5×4×3×2
= 479.001.600
11!
= 11×10×9×8×7×6×5×4×3×2
= 39.916.800
10!
= 10×9×8×7×6×5×4×3×2
= 3.628.800
9!
= 9×8×7×6×5×4×3×2
= 362.880
12! - 11! - 10! - 9!
= 479.001.600 - 39.916.800 - 3.628.800- 362.880
= 439.084.800 - 3.628.800 - 362.880
= 435.456.000 - 362.880
= 435.093.120
[answer.2.content]
