Berikut ini adalah pertanyaan dari unknown pada mata pelajaran Matematika untuk jenjang Sekolah Menengah Atas
21!=....?
awkawkawoka
Jawaban dan Penjelasan
Berikut ini adalah pilihan jawaban terbaik dari pertanyaan diatas.
10 × 42 = .....
= 420
21! =....
= (21 × 20 × 19 × 18 × 17 × 16 × 15 × 14 × 13 × 12 × 11 × 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1)
= (420 × 19 × 18 × 17 × 16 × 15 × 14 × 13 × 12 × 11 × 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1)
= (7.980 × 18 × 17 × 16 × 15 × 14 × 13 × 12 × 11 × 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1)
= (143.640 × 17 × 16 × 15 × 14 × 13 × 12 × 11 × 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1)
= (2.441.880 × 16 × 15 × 14 × 13 × 12 × 11 × 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1)
= (39.070.080 × 15 × 14 × 13 × 12 × 11 × 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1)
= (586.051.200 × 14 × 13 × 12 × 11 × 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1)
= (8.204.716.800 × 13 × 12 × 11 × 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1)
= (106.661.318.400 × 12 × 11 × 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1)
= (1.279.935.820.800 × 11 × 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1)
= (14.079.294.028.800 × 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1)
= (140.792.940.288.000 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1)
= (1.267.136.462.592.000 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1)
= 51.090.942.171.709.440.000
![[tex] \huge \red{ \mathfrak{jawaban}}[/tex][tex]21! \\ = 21 \times 20 \times 19 \times 18 \times 17 \times 16 \times 15 \times 14 \times 13 \times 12 \times 11 \times 10 \times 9 \times 8 \times 7 \times 6 \times 5 \times 4 \times 3 \times 2 \\ = 420 \times 19×18×17×16×15×14×13×12×11×10×9×8×7×6×5×4×3×2 \\ = 7.98020×18×17×16×15×14×13×12×11×10×9×8×7×6×5×4×3×2 \\ = 143.640×17×16×15×14×13×12×11×10×9×8×7×6×5×4×3×2 \\ = 2.441.880×16×15×14×13×12×11×10×9×8×7×6×5×4×3×2 \\ = 39.070.080×15×14×13×12×11×10×9×8×7×6×5×4×3×2 \\ = 586.051.200×14×13×12×11×10×9×8×7×6×5×4×3×2 \\ = 8.204.716.800×13×12×11×10×9×8×7×6×5×4×3×2 \\ = 106.661.318.400×12×11×10×9×8×7×6×5×4×3×2 \\ = 1.279.935.820.800×11×10×9×8×7×6×5×4×3×2 \\ = 14.079.294.028.800×10×9×8×7×6×5×4×3×2 \\ = 140.792.940.288.000×9×8×7×6×5×4×3×2 \\ = 1.267.136.462.592.000×8×7×6×5×4×3×2 \\ = 10.137.091.700.736.000×7×6×5×4×3×2 \\ = 70.959.641.905.152.000×6×5×4×3×2 \\ = 425.757.851.430.912.000×5×4×3×2 \\ = 2.128.789.257.154.560.000×4×3×2 \\ = 8.515.157.028.618.240.000 \times 3 \times 2 \\ = 2.55455 \times 10 {}^{19} \times 2 \\ = 5.10909 \times 10 {}^{19} [/tex]](https://id-static.z-dn.net/files/d8e/ef681c7119712ea4514d073714fea366.jpg)
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Last Update: Mon, 28 Feb 22