Jawaban:
12! = 479.001.600
10! = 3.628.800
Penjelasan dengan langkah-langkah:
Sedikit materi
Kaidah pencacahan adalah metode untuk mencari hasil yang dari sebuah percobaan. Kaidah pencacahan dibagi menjadi dua yaitu:
Soal diatas termasuk kaidah pencacahan aturan perkalian.
Kaidah pencacahan dipelajari saat kelas 12 SMA, tepatnya pada bab 6.
------------------
Penyelesaian:
12!
= 12 x 11 x 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1
= 132 x 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1
= 1.320 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1
= 11.880 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1
= 95.040 x 7 x 6 x 5 x 4 x 3 x 2 x 1
= 665.280 x 6 x 5 x 4 x 3 x 2 x 1
= 3.991.680 x 5 x 4 x 3 x 2 x 1
= 19.958.400 x 4 x 3 x 2 x 1
= 79.833.600 x 3 x 2 x 1
= 239.500.800 x 2 x 1
= 479.001.600
10!
= 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1
= 90 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1
= 720 x 7 x 6 x 5 x 4 x 3 x 2 x 1
= 5.040 x 6 x 5 x 4 x 3 x 2 x 1
= 30.240 x 5 x 4 x 3 x 2 x 1
= 151.200 x 4 x 3 x 2 x 1
= 604.800 x 3 x 2 x 1
= 1.814.400 x 2 x 1
= 3.628.800
---------------------------------------------------------------------------------------
detail:
Kelas : 12
Mapel : mtk
bab : 6
materi : kaidah pencacahan
Kata kunci : 12!, 10!
Kode : 12.2.6
12! = 12×11×10×9×8×7×6×5×4×3×2×1
= 132×10×9×8×7×6×5×4×3×2×1
= 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 × 1
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
= 30,240×5×4×5×3×2×1
= 151,200×4×3×2×1
= 604,800×3×2×1
= 1,814,400×3×2×1
= 5,443,500 × 2 × 1
= 10,886,400 × 1
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Jawaban:
12! = 479.001.600
10! = 3.628.800
Penjelasan dengan langkah-langkah:
Sedikit materi
Kaidah pencacahan adalah metode untuk mencari hasil yang dari sebuah percobaan. Kaidah pencacahan dibagi menjadi dua yaitu:
Soal diatas termasuk kaidah pencacahan aturan perkalian.
Kaidah pencacahan dipelajari saat kelas 12 SMA, tepatnya pada bab 6.
------------------
Penyelesaian:
12!
= 12 x 11 x 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1
= 132 x 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1
= 1.320 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1
= 11.880 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1
= 95.040 x 7 x 6 x 5 x 4 x 3 x 2 x 1
= 665.280 x 6 x 5 x 4 x 3 x 2 x 1
= 3.991.680 x 5 x 4 x 3 x 2 x 1
= 19.958.400 x 4 x 3 x 2 x 1
= 79.833.600 x 3 x 2 x 1
= 239.500.800 x 2 x 1
= 479.001.600
10!
= 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1
= 90 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1
= 720 x 7 x 6 x 5 x 4 x 3 x 2 x 1
= 5.040 x 6 x 5 x 4 x 3 x 2 x 1
= 30.240 x 5 x 4 x 3 x 2 x 1
= 151.200 x 4 x 3 x 2 x 1
= 604.800 x 3 x 2 x 1
= 1.814.400 x 2 x 1
= 3.628.800
---------------------------------------------------------------------------------------
detail:
Kelas : 12
Mapel : mtk
bab : 6
materi : kaidah pencacahan
Kata kunci : 12!, 10!
Kode : 12.2.6
Penjelasan dengan langkah-langkah:
12! = 12×11×10×9×8×7×6×5×4×3×2×1
= 132×10×9×8×7×6×5×4×3×2×1
= 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 × 1
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
= 30,240×5×4×5×3×2×1
= 151,200×4×3×2×1
= 604,800×3×2×1
= 1,814,400×3×2×1
= 5,443,500 × 2 × 1
= 10,886,400 × 1