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 :

= 12! - 10!

= 12×11×10×9×8×7×6×5×4×3×2×1

= 1.320×9×8×7×6×5×4×3×2×1

= 11.880×8×7×6×5×4×3×2×1

= 95.040×7×6×5×4×3×2×1

= 665.280×6×5×4×3×2×1

= 3.991.680×5×4×3×2×1

= 19.958.400×4×3×2×1

= 79.833.600×3×2×1

= 239.500.800×2×1

= 479.001.600

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

= 12! - 10!

= 479.001.600 - 3.628.800

= 475.372.800

Kesimpulan :

12! - 10! = 475.372.800

Pelajari lebih lanjut :

yomemimo.com/tugas/23103696

yomemimo.com/tugas/16022599

Detail jawaban :

❐ Kelas : 12

❐ Mapel : Matematika

❐ Materi : Bab 7 - Kaidah pencacahan

❐ Kode Kategorisasi : 12.2.7

❐ Kata Kunci : faktorial