# Help! Uncertain Groups Drill Solution (2016 edition)

• January 5, 2017 at 12:39 pm #2933
sweetbugg3
Participant

Greetings,

This is my first post since joining this community (just joined today).

I have been working on the trainer for a couple of weeks now and I am completely stumped on the uncertain groups drills – question #3. I was comparing my answers to the solutions and I cannot for the life of me see how 1 and 3 have two positions that are crossed out. In my solution, only one has been crossed out. Is this because the rule says that 1 and 3 have the same number but different colors?

Please help me with the reasoning because I have been going crazy trying to figure this out.

Thanks!

• January 5, 2017 at 3:12 pm #2934
Mike Kim
Keymaster

Hi — welcome and glad to have u here! —

The cross-outs are indeed because of that “not same” rule —

If we try, for example, to put three ingredients into dish 1 and three ingredients into dish 2, since there are only 4 ingredients total, there is no way to do this without using at least one common ingredient in both dishes — thereby violating the rule.

So, because of the rule that 1 and 3 have the same # of ingredients but none of the same ingredients, those dishes could either have 1 ingredient each or 2 ingredients each, but no more than that.

Beyond that, since we know the third dish uses more ingredients than the fifth, we know the third dish must use more than 1 ingredient.

Putting those two things together, what we know is that

a) the third dish must use exactly 2 ingredients &
b) those two ingredients must be different from the 2 ingredients used in the first dish.

I hope that helps clear it up, and if you have any follow-up q’s just let me know —

MK

• January 5, 2017 at 4:49 pm #2935
sweetbugg3
Participant

Wow! That makes sense.

Thank you for the explanation!

• January 8, 2017 at 10:01 am #2938
Mike Kim
Keymaster

Great! Happy to help – MK

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