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Non-empty sets element count (Posted on 2015-04-13) Difficulty: 3 of 5
N is the number of ordered pairs of non-empty sets P and Q that have the following properties:
  1. P Q ={1,2,3,4,5,6,7,8,9,10,11,12}, and:
  2. P Q = Φ, and:
  3. The number of elements of P is not an element of P, and:
  4. The number of elements of Q is not an element of Q
Find N.

No Solution Yet Submitted by K Sengupta    
Rating: 5.0000 (1 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
re: Answer only | Comment 3 of 5 |
(In reply to Answer only by Ady TZIDON)

I think you forgot the case when both sets have 6 elements, then there is no where to place 6 as this would violate either rule 3 or 4.
  Posted by Daniel on 2015-04-13 13:47:57

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