5! + 10! = ……
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Jawaban :
5! + 10! =
—
5! =
= 5 × 4 × 3 × 2 × 1
= 20 × 3 × 2 × 1
= 60 × 2 × 1
= 120 × 1
= 120
—
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
—
5! + 10! =
= 5! + 10!
= ( 5.4.3.2.1 ) + ( 10.9.8.7.6.5.4.3.2.1 )
= 120 + 3.628.800
= 3.628.920
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Kesimpulan :
- Hasil dari 5! + 10! adalah 3.628.920
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Detail jawaban :
- ❐ Kelas : XII – 12
- ❐ Tingkat : SMA
- ❐ Kode kategorisasi : 12.2.7
- ❐ Bab : 7
- ❐ Mapel : Matematika
- ❐ Materi : Kaidah Pencacahan
- ❐ Kata kunci : Hasil dari 5! + 10!
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Diketahui :
5!
= 5 × 4 × 3 × 2 × 1
= 20 × 3 × 2 × 1
= 60 × 2 × 1
= 120 × 1
= 120
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
Ditanya :
5! + 10!
penyelesaian :
5! + 10!
= (5×4×3×2×1) + (10×9×8×7×6×5×4×3×2×1)
= 120 + 3.628.800
= 3.628.920 √
Berikut adalah cara bersusun kebawah, antara lain :
3.628.800
120
___________+
3.628920
Keterangan :
→ hasil dari 5! + 10! adalah 3.628.920