19! =
Nilai dari 19! adalah 11.058.645.491.712.000
Pendahuluan:
Faktorial
Faktorial adalah simbol dari perkalian dari n sampai 1. Kalau dalam bahasa matematika seperti ini pembahasan nya : n! = n × .... × 3 × 2 × 1. Faktorial adalah dasar dari kaidah pencacahan. Maksud dari Faktorial menggunakan formula adalah :
[tex] \tiny{\red{\boxed{\boxed{\boxed{ \blue{\bf n! = n \times (n - 1) \times (n - 2) \times (n - 3) \times (n - 4) \times (n - 5) \times ..... \times 1} }}}}} [/tex]
[tex] \begin{gathered} \begin{gathered}\begin{gathered}\begin{gathered} \boxed{ \begin{array}{c|c} \underline{\bf Faktorial} & \underline{ \bf Nilai}\\ \\ \bf 0! & \bf 0^1 = 1 \\ \bf1!&\bf 1 \times 1 = 1 \\ \bf 2! & \bf 2\times1=2\\ \bf 3! & \bf3\times2\times1=6\\ \bf4! & \bf 4\times3\times2\times1=24\\ \bf 5! & \bf 5\times4\times3\times2\times1=120\\ \bf6! &\bf 6\times5\times4\times3\times2\times1=720\\ \bf 7! &\bf 7\times6\times5\times4\times3\times2\times1=5.040\\ \bf 8! &\bf 8\times7\times6\times5\times4\times3\times2\times1=40.320 \\ \bf 9! & \bf 9 \times 8\times7\times6\times5\times4\times3\times2\times1=362.880 \\ \bf 10! & \bf 10 \times 9 \times 8\times7\times6\times5\times4\times3\times2\times1 = 3.628.800\end{array}}\end{gathered}\end{gathered}\end{gathered}\end{gathered}[/tex]
Pembahasan:
19!
= 19 × 18 × 17 × 16 × 15 × 14 × 13 × 12 × 11 × 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1
= 342 × 17 × 16 × 15 × 14 × 13 × 12 × 11 × 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1
= 5.814 × 16 × 15 × 14 × 13 × 12 × 11 × 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1
= 93.024 × 15 × 14 × 13 × 12 × 11 × 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1
= 1.395.360 × 14 × 13 × 12 × 11 × 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1
= 19.535.040 × 13 × 12 × 11 × 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1
= 253.955.520 × 12 × 11 × 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1
= 3.047.466.240 × 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1
= 30.474.662.400 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1
= 274.271.961.600 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1
= 2.194.175.692.800 × 7 × 6 × 5 × 4 × 3 × 2 × 1
= 15.359.229.849.600 × 6 × 5 × 4 × 3 × 2 × 1
= 92.155.379.097.600 × 5 × 4 × 3 × 2 × 1
= 460.776.895.488.000 × 4 × 3 × 2 × 1
= 1.843.107.581.952.000 × 3 × 2 × 1
= 5.529.322.745.856.000 × 2 × 1
= 11.058.645.491.712.000 × 1
= 11.058.645.491.712.000
Kesimpulan:
Soal diatas adalah soal yang menanyakan nilai 19!
Pelajari Lebih Lanjut:
- Hasil dari 7! + 8! - 6! adalah?
brainly.co.id/tugas/46746847
- Nilai dari 5! adalah ?
brainly.co.id/tugas/46652920
- Nilai dari 1.000.000! adalah ?
brainly.co.id/tugas/46748678
Detail Jawaban:
- Kelas : 12 SMA
- Mata Pelajaran : Matematika
- Materi : Kaidah Pencacahan
- Kode Soal : 2
- Kode Kategorisasi : 12.2.7
- Kata Kunci : Nilai dari 19! adalah?
※ 19!
= 19 × 18 × 17 × 16 × 15 × 14 × 13 × 12 × 11 × 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1
= 342 × 17 × 16 × 15 × 14 × 13 × 12 × 11 × 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1
= 5.814 × 16 × 15 × 14 × 13 × 12 × 11 × 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1
= 93.024 × 15 × 14 × 13 × 12 × 11 × 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1
= 1.395.360 × 14 × 13 × 12 × 11 × 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1
= 19.535.040 × 13 × 12 × 11 × 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1
= 253.955.520 × 12 × 11 × 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1
= 3.047.466.240 × 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1
= 30.474.662.400 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1
= 274.271.961.600 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1
= 2.194.175.692.800 × 7 × 6 × 5 × 4 × 3 × 2 × 1
= 15.359.229.849.600 × 6 × 5 × 4 × 3 × 2 × 1
= 92.155.379.097.600 × 5 × 4 × 3 × 2 × 1
= 460.776.895.488.000 × 4 × 3 × 2 × 1
= 1.843.107.581.952.000 × 3 × 2 × 1
= 5.529.322.745.856.000 × 2 × 1
= 11.058.645.491.712.000 × 1
= 11.058.645.491.712.000 ☑
