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- January 28th 2009, 07:27 AM #1

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- Dec 2008
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## Set problem

Hello I need help with this problem

Let*S*be a set with*n*elements.

(a)How many ordered pairs are there in*S × S*?

(b) How many relations are there on*S*(subsets of*S × S*) ?

Let*A, B, C*be 3 sets. Suppose*|A|*=*|B|*=*|C|*= 100,*|A \ B|*= 70,

|A \ C|= 50,*|B \ C|*= 45 and*|A [B [ C|*= 175. How many elements are there in*A \ B \ C*?

\ means intersection and [ means union

Thank you

- January 28th 2009, 10:26 AM #2

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- Dec 2008
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- Indiana
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- January 28th 2009, 11:00 AM #3

- January 28th 2009, 12:01 PM #4

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- Dec 2008
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- January 28th 2009, 12:43 PM #5