Pick a subset of at least four of the following seven numbers, order them from least to greatest, and write down their labels (corresponding letters from A through G) in that order: (A) π; (B) 2+3; (C) 10; (D) 113355; (E) 16tan−151−4tan−12401 (F) ln(23); and (G) 2e. If the ordering of the numbers you picked is correct and you picked at least 4 numbers, then your score for this problem will be (N−2)(N−3), where N is the size of your subset; otherwise, your score is 0.
A number or a short expression. Spacing and $ signs are ignored.
Solution
We have ln(23)<2e<π<113355<16tan−151−4tan−12401<2+3<10.
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: Omni-MATH,
licensed Apache-2.0.
Statement and solution reproduced as published; topic and difficulty added by this site.