2108: Banjo, guitar, fiddler Band

[vincent.m]

I'm just stuck on the numbers with this one. Someone please help! Thank you!

[christine.defenbaugh]

Thanks for posting, vincent.m!

I find it helps to visualize this as an open grouping logic game. You're told you have fiddlers, banjo players, and guitarists in a band and no other types of musicians - so, three categories. You're also told that you have at least 1 fiddler, 1 banjo player, and 2 guitarists (but you could have more!).



And finally, you're told that the entire band has 6 musicians. We already know who 4 of them are, so that leaves 2 left to place. Those two can be anywhere!



The correct inference: If we had exactly 2 guitarists, those upper slots get slashed out, but it doesn't change the original minimum/maximum for fiddlers: at least one, and at most 3!

The incorrect inference starts with exactly 2 fiddlers - that means exactly one of our mystery pair is fiddler! But we still have the second mystery musician left - which means we could potentially have 2 banjos! But this inference says we could only have 1 - that's not correct!


Does that help clear this one up a bit?