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#1
10-19-2002, 04:03 PM
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Typo in Sklansky Column

#2
10-19-2002, 05:07 PM
 Mike Haven Senior Member Join Date: Sep 2002 Location: Northern Ireland Posts: 2,288
Re: Typo in Sklansky Column

no

there are 17 boys (13 girls)

there may be, say, 2 redheaded boys, so of the 4 redheads 2 are girls

so there are 19 boys or redheads (in this case)

#3
10-19-2002, 09:18 PM
 ronniejames Junior Member Join Date: Oct 2002 Location: Kew Gardens, New York Posts: 6
Re: Typo in Sklansky Column

You need to read more carefully. You'll notice that you consider that the answer might be 19. Sklansky writes: "To get the right answer, you would in fact have to subtract the number of redheaded boys from 17. See why?" There are two possible typos in the column. If the published "13 girls" was intended to be '13 boys', then everything else is correct. If, as you suggest, we are to subtract the 13 girls from a total of 30 children, giving us 17 boys, then the two places where the number 17 appears should read, 21. I do not, even for a moment, entertain the possibility that Sklansky gave the wrong answer. It's too simple and he's far too competent.
#4
10-20-2002, 06:55 PM
 Mike Haven Senior Member Join Date: Sep 2002 Location: Northern Ireland Posts: 2,288
Re: Typo in Sklansky Column

i didn't see his article

i gave an example to show that his instructions were correct

his instructions are correct:

"There are 30 children in your child's class. How many are either boys or redheads? If I tell you that there are 13 girls and four redheads, that doesn't mean the answer is 17...To get the right answer, you would in fact have to subtract the number of redheaded boys from 17."

if i tell you there are 13 girls in a class of 30 there are 17 boys

if i tell you there are 4 redheads they may be boys or girls

if there are, say, two redheaded boys then you have to subtract this number from the 17 boys = 15

otherwise you are double-counting the redheaded boys

#5
10-21-2002, 03:29 AM
 ronniejames Junior Member Join Date: Oct 2002 Location: Kew Gardens, New York Posts: 6
Re: Typo in Sklansky Column

#6
10-21-2002, 04:09 AM
 Mike Haven Senior Member Join Date: Sep 2002 Location: Northern Ireland Posts: 2,288
Re: Typo in Sklansky Column

"To GET the right answer ..."

the calculations don't STOP at "... you would in fact have to subtract the number of redheaded boys from 17"

they INCLUDE that process

to make your ham and eggs you have to get a chicken first - well - maybe not - but you take the point?
#7
10-21-2002, 04:17 AM
 ronniejames Junior Member Join Date: Oct 2002 Location: Kew Gardens, New York Posts: 6
Re: Typo in Sklansky Column

I'm afraid I have to throw in the towel. I just don't understand what you're driving at. It really isn't all that complicated. Really.
#8
10-21-2002, 04:38 AM
 BruceZ Senior Member Join Date: Sep 2002 Posts: 1,636
Re: Typo in Sklansky Column

There are 30 children in your child's class. How many are either boys or redheads? If I tell you that there are 13 girls and four redheads, that doesn't mean the answer is 17.

No, why would anyone think it is 17? One might naively think it is 21, since this is 17 boys + 4 readheads. But then you would have to subtract the redheaded boys from 21 not 17. Clearly this is a typo and both bold words above should be boys. Then you subtract redheaded boys from 17 to get the final answer. This is how the demonstration of the inclusion-exclusion principle should be done.

#9
10-21-2002, 09:08 AM
 Mike Haven Senior Member Join Date: Sep 2002 Location: Northern Ireland Posts: 2,288
Re: Typo in Sklansky Column

yep - it's a typo alright - i think it should be corrected to save anyone becoming confused
#10
10-21-2002, 06:32 PM
 happyjaypee Senior Member Join Date: Sep 2002 Location: Quebec, Canada Posts: 517
Re: Typo in Sklansky Column

Skanlsky explanation would work whit the fellowing equation too:

Is thought process is just in the midlle of the explanation. I agree tought that it is confusing. I reed the post on CP and got a little lost. I Understanded it reading your posts

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