Maths Olympiad Prep

Library / /116 of 520

Combinatorics Difficulty 5.2 AIME, harder Find the answer

41. There are 20 balls in total, and two people take turns to pick them. Each person can take 1 to 3 balls at a time, and the one who picks the last ball wins. \qquad The one who picks has a winning strategy. (Fill in “first” or “second”)

Solution

Answer: After

untranslated text:

将上面的文本翻译成英文,请保留源文本的换行和格式,直接输出翻译结果。

Translation:

Answer: After

untranslated text:

Translate the text above into English, please retain the source text's line breaks and format, and output the translation result directly.

Want a route through all this instead of an archive? The track puts 2,000 problems in a working order, from AMC 10 level to the IMO shortlist.

Source: NuminaMath-1.5, licensed Apache-2.0. Statement and solution reproduced as published; topic and difficulty added by this site.