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Sestavování slov z ananasu
Urči, kolik slov, nehledě na význam, lze sestavit ze slov:
ananas
\large \Large \frac{\left( 3+2+1\right) !}{3!\cdot 2! \cdot 1!}\large = \Large \frac{6\cdot 5\cdot 4\cdot 3\cdot 2\cdot 1}{3\cdot 2}\large = 10\cdot 4\cdot 3 = 120
\large \Large \frac{\left( 3+2+1\right) !}{3!\cdot 2! \cdot 1!}\large = \Large \frac{6\cdot 5\cdot 4\cdot 3\cdot 2\cdot 1}{6\cdot 3}\large = 5\cdot 4 = 20
\large \Large \frac{\left( 3+2+1\right) !}{3!\cdot 2! \cdot 1!}\large = \Large \frac{6\cdot 5\cdot 4\cdot 3\cdot 2\cdot 1}{6\cdot 2}\large = 5\cdot 4\cdot 3 = 60
\large \Large \frac{\left( 3+2+1\right) !}{3!\cdot 2! \cdot 1!}\large = \Large \frac{6\cdot 5\cdot 4\cdot 3\cdot 2\cdot 1}{2\cdot 2}\large = 15\cdot 4\cdot 3 = 180