amc9639
31.12.2019 •
Mathematics
Find the number of non-degenerate triangles whose vertices are three of the points on this six-point star.
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Ответ:
20
Step-by-step explanation:
The number of combinations of 6 points taken 3 at a time is ...
6!/(3!·(6-3)!) = 6·5·4/(3·2·1) = 5·4 = 20
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If you number the points 1–6, the points of the 20 triangles will be ...
123 124 125 126 134
135 136 145 146 156
234 235 236 245 246
256 345 346 356 456
Ответ: