Sestavování slov
Urči, kolik slov, nehledě na význam, lze sestavit ze slov:
domorodec
\Large\frac{(2+3+1+1+1+1)!}{3!\cdot3!\cdot1!\cdot1!\cdot1!\cdot1!}\large=\Large\frac{9!}{3!\cdot3!}=
\large =\Large \frac{9\cdot 8\cdot 7\cdot 6\cdot 5\cdot 4\cdot 3\cdot 2\cdot 1}{18}\large = 20\ 160
\Large\frac{(2+3+1+1+1+1)!}{2!\cdot2!\cdot1!\cdot1!\cdot1!\cdot1!}\large=\Large\frac{9!}{2!\cdot2!}=
\large =\Large \frac{9\cdot 8\cdot 7\cdot 6\cdot 5\cdot 4\cdot 3\cdot 2\cdot 1}{4}\large = 90\ 720
\Large\frac{(2+3+1+1+1+1)!}{2!\cdot3!\cdot1!\cdot1!\cdot1!\cdot1!}\large=\Large\frac{9!}{3!\cdot2!}=
\large =\Large \frac{9\cdot 8\cdot 7\cdot 6\cdot 5\cdot 4\cdot 3\cdot 2\cdot 1}{6\cdot 2}\large = 30\ 240
\Large\frac{(2+3+1+1+1+1)!}{2!\cdot3!\cdot2!\cdot1!\cdot1!\cdot1!}\large=\Large\frac{9!}{3!\cdot2!\cdot2!}=
\large =\Large \frac{9\cdot 8\cdot 7\cdot 6\cdot 5\cdot 4\cdot 3\cdot 2\cdot 1}{24}\large = 15\ 120