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Logic Level 2

What is the maximum number of balls l can remove from the triangle so the (at least 1) remaining ball(s) remain fixed in position?

5 4 0 2 6

Hana Wehbi by Hana Wehbi , 51, USA

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2 solutions

Hana Wehbi
Feb 11, 2018

In theory, a ball doesn’t move if its center is inside a polygon based on supporting points. Thus, only 6 balls can be removed.

0 Helpful 0 Interesting 0 Brilliant 0 Confused

Playing devil's advocate, you have only shown that "we can remove 6 balls". You have not shown that "we cannot remove 7 balls".

The alternative interpretation is that there was a jump in logic from your first sentence to the second sentence.

Calvin Lin Staff - 3 years, 3 months ago

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I will try to come up with a better solution. Thank you.

Hana Wehbi - 3 years, 3 months ago
Stephen Mellor
Feb 11, 2018

Balls 1,4,6,11,13,15 can be removed.

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Thank you, you are right.

Hana Wehbi - 3 years, 3 months ago

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