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02:28:09 Note that there are 4 questions in this assignment.
`q001. Let A stand for the collection of all whole numbers which have at least one even digit (e.g., 237, 864, 6, 3972 are in the collection, while 397, 135, 1, 9937 are not). Let A ' stand for the collection of all whole numbers which are not in the collection A. Let B stand for the collection { 3, 8, 35, 89, 104, 357, 4321 }. What numbers do B and A have in common? What numbers do B and A' have in common?......!!!!!!!!...................................
RESPONSE --> Numbers A and B are sets of whole positive counting numbers, and each set contains a collection of numbers. While all of the collection in A have at least one even digit, three of the collection in B have at least one even digit. Likewise, Numbers A' and B are sets of whole positive counting numbers, each containing a collection of numbers. While A' contains all even digits, only 43% of B's collection contain even digits. A' has 135, where B has 35.
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02:33:49 If we assume that dark brown, light brown or blonde, and bright red hair are mutually exclusive (i.e., someone can't be both one category and another, much less all three), then we have at least 8 + 2 + 9 = 19 people in the room, and it is not possible that we have exactly 17.
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RESPONSE --> I made the mistake of not listing seperately the numbers in A, A', and B.
They can not be in all 3 catagories, and 19 does not =17..................................................
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02:37:01 `q003. I have in a room 6 people with dark hair and 10 people with blue eyes. There are only 14 people in the room. But 10 + 6 = 16, which is more than 14. How can this be?
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RESPONSE --> Because, of the 6 with dark hair, some of those are being counted as having blue eyes. We re not given the exact breakdown of the other colors of eyes. Therefore, 14 - 10 would mean that only 4 people have a color other than blue.
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02:38:09
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RESPONSE --> Enter, as appropriate, an answer to the question, a critique of your answer in response to a given answer, your insights regarding the situation at this point, notes to yourself, or just an OK. I understood that 2 where being counted twice, I just worded it differently. Always critique your solutions by describing any insights you had or errors you makde, and by explaining how you can make use of the insight or how you now know how to avoid certain errors. Also pose for the instructor any question or questions that you have related to the problem or series of problems.
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02:41:32 `q004. In a set of 100 child's blocks 60 blocks are cubical and 40 blocks are cylindrical. 30 of the blocks are red and 20 of the red blocks are cubical. How many of the cylindrical blocks are red?
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RESPONSE --> 10 cylindrical blocks are red. 1/4 of the number of cylindrical blocke, and 1/10 of the total."