A company wishes to do direct marketing to potential clients for a new high-end product. It has been offered three mailing lists by a research firm that has done intensive studies of the buying habits of its prospective clients. The charges for the lists have been given as Ksh 50/- per distinct name. Upon scrutiny of the list the following came to light: • The first list (List 1) has 1500 names, the second list (List 2) has 3300 names and the third list (List 3) has 2800 names. • List 1 and List 2 have 382 names in common. • List 1 and List 3 have 417 names in common. • List 2 and List 3 have 741 names in common. If all the 3 lists have 219 names in common, determine the maximum amount that the company should pay for the lists. (Use the concepts of Set Theory)

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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 A company wishes to do direct marketing to potential clients for a new high-end product. It has been offered three mailing lists by a research firm that has done intensive studies of the buying habits of its prospective clients. The charges for the lists have been given as Ksh 50/- per distinct name. Upon scrutiny of the list the following came to light:
• The first list (List 1) has 1500 names, the second list (List 2) has 3300 names and the third list (List 3) has 2800 names.
• List 1 and List 2 have 382 names in common.
• List 1 and List 3 have 417 names in common.
• List 2 and List 3 have 741 names in common.
If all the 3 lists have 219 names in common, determine the maximum amount that the company should pay for the lists.
(Use the concepts of Set Theory)

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