Faktorial adalah sebuah perkalian yang berurutan dan diawali dari angka yang dimaksud sampai dengan angka 1, faktorial mempunyai simbol yaitu tanda seru (!).
Mencari hasil
Hasil dari [tex] \sf \frac{7! \: \: : \: \:3! }{4! \: + \: 3!} [/tex] adalah ...
Verified answer
Jawaban:
Penyelesaian :
[tex]\begin{gathered} \begin{gathered} \begin{gathered} \begin{gathered} \begin{gathered} \begin{gathered} \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}\end{gathered} \end{gathered} \end{gathered} \end{gathered} \end{gathered} \end{gathered}[/tex]
Mencari hasil
Hasil dari [tex] \sf \frac{7! \: \: : \: \:3! }{4! \: + \: 3!} [/tex] adalah ...
[tex] \sf = \frac{7! \: \: : \: \:3! }{4! \: + \: 3!} [/tex]
[tex] \sf = \frac{(7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1) \: : \:(3 \times 2 \times 1) }{(4 \times 3 \times 2 \times 1) \: + \: (3 \times 2 \times 1)} [/tex]
[tex] \sf = \frac{(5.040 \: : \:6) }{(24 \: + \: 6)} [/tex]
[tex] \sf = \frac{840}{30} [/tex]
[tex] \sf = 28[/tex]
'비상
Jawaban:
7! =7x6x5x4x3x2x1=5040
3! =3x2x1=6
4! =4x3x2x1=24
3! =3x2x1=6
7! : 3! = 5040 : 6 = 840
4! + 3! =24 + 6 = 30
[tex] \frac{840}{30} = 28[/tex]