Crates of coconuts

Probability Level 3

Each of 100 crates contain at least 23 coconuts and at most 29 coconuts. What is the least number of crates that must contain the same number of coconuts?


The answer is 15.

Paul Fournier by Paul Fournier , 70, Canada

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.

1 solution

Paola Ramírez
Aug 9, 2015

Applying pigeonhole principle, there are on box per number of coconuts that is seven boxes. In the worst case, each box will contain 100 7 = 14 \frac{100}{7}=14 crates with the same number of coconuts and two with 15 15

0 Helpful 0 Interesting 0 Brilliant 0 Confused

1 pending report

Vote up reports you agree with

×

Problem Loading...

Note Loading...

Set Loading...