Crates over Crates

Probability Level pending

Ten identical crates each have dimensions 3 m × 4 m × 6 m 3\text{ m} \times 4\text{ m} \times 6\text{ m} . The first crate is placed flat on the floor. Each of the remaining nine crates is placed, in turn, flat on top of the previous crate, and the orientation of each crate is chosen at random. Let m n \dfrac{m}{n} be the probability that the stack of crates is exactly 41 m 41\text{ m} tall, where m m and n n are coprime positive integers. Find m + n m+n .


The answer is 2377.

This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try refreshing the page, (b) enabling javascript if it is disabled on your browser and, finally, (c) loading the non-javascript version of this page . We're sorry about the hassle.

0 solutions

No explanations have been posted yet. Check back later!

0 pending reports

×

Problem Loading...

Note Loading...

Set Loading...