Found this problem: And the correct answer is:
**2**

Counter-Argument: What if

- Red Box : Green Balloons
- Yellow Box: Blue Balloons
- Blue Box: Red Balloons
- Green Box: Yellow Balloon

Thus, we need to open minimum of 3 boxes to know what is contained in all the boxes"

Doesn't that makes sense?

I know the question asked for MINIMUM NUMBER OF BOXES, and if you'll look at the explanation, they have proved their answer. But what if there happens to be the case mentioned above?

No vote yet

1 vote

Easy Math Editor

This discussion board is a place to discuss our Daily Challenges and the math and science related to those challenges. Explanations are more than just a solution — they should explain the steps and thinking strategies that you used to obtain the solution. Comments should further the discussion of math and science.

When posting on Brilliant:

`*italics*`

or`_italics_`

italics`**bold**`

or`__bold__`

boldNote: you must add a full line of space before and after lists for them to show up correctlyparagraph 1

paragraph 2

`[example link](https://brilliant.org)`

`> This is a quote`

Remember to wrap math in`\(`

...`\)`

or`\[`

...`\]`

to ensure proper formatting.`2 \times 3`

`2^{34}`

`a_{i-1}`

`\frac{2}{3}`

`\sqrt{2}`

`\sum_{i=1}^3`

`\sin \theta`

`\boxed{123}`

## Comments

Sort by:

TopNewestNo, it's still 2.

Log in to reply

Why blue box can not contain yellow balloon? If you'll check the case 1 in the explanation, they have taken the assumption of "swapping the balloons"

Log in to reply

Because the green box already contains yellow balloons, so the blue box cannot contain yellow balloons (again).

Log in to reply

How can you be sure, what if green box contains red balloons? Don't you think in order to

verifywe need to check the third box?Log in to reply

The answer is still 2.

Log in to reply

If the order is Red Box : Green Balloons Yellow Box: Blue Balloons Blue Box: Red Balloons Green Box: Yellow Balloon

And the order of opening boxes is

1st: Red Box 2nd: Yellow Box

Then there is no way to figure out which colored balloon is present in Blue and Green box. Because it creates possibilities:

Blue box can contain : Yellow balloon or Red Balloon Similarly Green box can contain: Yellow balloon or Red Balloon

That's the only doubt I have.

Log in to reply

Suppose you open the first box labeled colour X, and it shows that it contain balloons of colour Y, then open the second box with label colour Y. That way, you don't have to open the third box to figure out all the remaining colors.

Log in to reply