Benutze hier die Definition der Fakultät um nicht in jedem Schritt von vorne anfangen zu müssen.

$1!=11!=1$

$2!=2\cdot 1=22!=2\backslash cdot1=2$

$3!=3\cdot 2\cdot 1=3\cdot 2!=3\cdot 2=63!=3\backslash cdot2\backslash cdot1=3\backslash cdot2!=3\backslash cdot2=6$

$4!=4\cdot 3\cdot 2\cdot 1=4\cdot 3!=4\cdot 6=244!=4\backslash cdot3\backslash cdot2\backslash cdot1=4\backslash cdot3!=4\backslash cdot6=24$

$5!=5\cdot 4!=5\cdot 24=1205!=5\backslash cdot4!=5\backslash cdot24=120$

$6!=6\cdot 5!=6\cdot 120=7206!=6\backslash cdot5!=6\backslash cdot120=720$

$7!=7\cdot 6!=7\cdot 720=50407!=7\backslash cdot6!=7\backslash cdot720=5040$

$8!=8\cdot 7!=8\cdot 5040=403208!=8\backslash cdot7!=8\backslash cdot5040=40320$

$9!=9\cdot 8!=9\cdot 40320=3628809!=9\backslash cdot8!=9\backslash cdot40320=362880$

$10!=10\cdot 9!=10\cdot 362880=362880010!=10\backslash cdot9!=10\backslash cdot362880=3628800$