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Sets A, B, and C have some elements in common [#permalink]
06 Dec 2006, 03:08

00:00

A

B

C

D

E

Difficulty:

(N/A)

Question Stats:

0% (00:00) correct
0% (00:00) wrong based on 0 sessions

Searched, but couldn't find this one. Venn type questions are the beans for my brain farts. Any lessons on approaching this with a Venn diagram would be helpful.

Sets A, B, and C have some elements in common. If 16 elements are in both A and B, 17 elements in both A and C, and 18 elements are in both B and C, how many elements do all three of the sets A, B, and C have in common?

1) of the 16 elements that are i both A and B, 9 elements are also in C. 2) A has 25 elements, B has 30 elements, and C has 35 elements.

Sets A, B, and C have some elements in common. If 16 elements are in both A and B, 17 elements in both A and C, and 18 elements are in both B and C, how many elements do all three of the sets A, B, and C have in common?

1) of the 16 elements that are i both A and B, 9 elements are also in C.
2) A has 25 elements, B has 30 elements, and C has 35 elements.

A IS MY ANSWER
= 9

EDITED

Last edited by yezz on 06 Dec 2006, 04:16, edited 1 time in total.

II) does not seems to provide enough info.
We got 3 equation from the question stem, another 3 from II). 6 total.
But we got 7 unknown, which is number of:
a, b, c, ab, ac, bc and abc . _________________

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