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13 Jul 2004, 13:59
Kudos
Bookmarks
Hello new here.
Question for you all
Say I have 6 books A, B, C, D, E,F
what are the number or different ways I can pull two books simultaniously and have in my pick either book A or book B.
I cant figure out if order matter here or not i.e. Is {A,D} the same as {D,A}
If yes then is answer is (2x4)/2 ?
if no is answer (2x4)
Question for you all
Say I have 6 books A, B, C, D, E,F
what are the number or different ways I can pull two books simultaniously and have in my pick either book A or book B.
I cant figure out if order matter here or not i.e. Is {A,D} the same as {D,A}
If yes then is answer is (2x4)/2 ?
if no is answer (2x4)
Archived Topic
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13 Jul 2004, 14:34
Kudos
Bookmarks
6 books - need to pick 2
Total number of ways: 6C2
# of ways in which neither A nor B is picked: 4C2
# of ways in which both A and B is picked: 1
Hence, # of ways in which either A or B is picked: 6C2-4C2-1 = 15-6-1= 8
Total number of ways: 6C2
# of ways in which neither A nor B is picked: 4C2
# of ways in which both A and B is picked: 1
Hence, # of ways in which either A or B is picked: 6C2-4C2-1 = 15-6-1= 8
14 Jul 2004, 06:49
Kudos
Bookmarks
Hi damit,
This is a good question, but PLEASE don't get too wrapped up in all this combinations stuff over a problem like this. The order doesn't matter, because when you grab two books, then who cares what order you hold them in. The question would have to be more specific in order for order to matter.
Since there are only 6 books, I would just chart it out and leave the formulas at home:
a-b
a-c
a-d
a-e
a-f
and
b-c
b-d
b-e
b-f
That's nine. I didn't do b-a here, because we did it already in the first one, so that's the only place where order makes a difference anyway. If the question doesn't include the one instance where you get both, then you can elliminate it anyway, so the answer is 8. I'm not sure which one this is by the wording.
Hope that helps!
This is a good question, but PLEASE don't get too wrapped up in all this combinations stuff over a problem like this. The order doesn't matter, because when you grab two books, then who cares what order you hold them in. The question would have to be more specific in order for order to matter.
Since there are only 6 books, I would just chart it out and leave the formulas at home:
a-b
a-c
a-d
a-e
a-f
and
b-c
b-d
b-e
b-f
That's nine. I didn't do b-a here, because we did it already in the first one, so that's the only place where order makes a difference anyway. If the question doesn't include the one instance where you get both, then you can elliminate it anyway, so the answer is 8. I'm not sure which one this is by the wording.
Hope that helps!
