how to approach for this problem

Suppose A=A1A2...A17 and B=B1B2...B17 are two polygons, possibly self-intersecting. Suppose no three out of 34 vertices of A and B lie on the same straight line. Find the largest possible number of intersections of A and B.

Easy Math Editor

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Math	Appears as
Remember to wrap math in `$` ... `$` or `\[` ... `\]` to ensure proper formatting.
`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
`\sqrt{2}`	$\sqrt{2}$
`\sum_{i=1}^3`	$\sum_{i=1}^3$
`\sin \theta`	$\sin \theta$
`\boxed{123}`	$\boxed{123}$

Comments

Read the Discussions Rules and Guidelines here: https://brilliant.org/discussions/rules-and-guidelines/

In particular, the guidelines specifically state: "Do not post or give up answers to the current week’s problem sets on Brilliant." Asking for advice on how to solve currently open problems is not allowed.

hero p. - 8 years, 2 months ago

Rohitashav,

Please refrain from discussing approaches to this problem until next week when it's solution is published. In addition to not giving up answers to the problems we would also prefer to not host a general discussion of approaches prior to the end of the problem set. This avoids privileging some people with hints that others might not receive.

Peter Taylor Staff - 8 years, 2 months ago

Math	Appears as
Remember to wrap math in `\(` ... `\)` or `\[` ... `\]` to ensure proper formatting.
`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
`\sqrt{2}`	$\sqrt{2}$
`\sum_{i=1}^3`	$\sum_{i=1}^3$
`\sin \theta`	$\sin \theta$
`\boxed{123}`	$\boxed{123}$