Take A Look At The Fax - The Solutions
January 12, 2004

Dividing \$5.4 million by \$11,000 yields that the company allegedly committed 490 violations, to the nearest ten.

We know that the vote could have been 3-Yes/2-No or 4-Yes/1-No or 5-Yes. There is only one vote-record with all five of the members voting Yes, so that is the easiest to count. There are five different possible vote-records with one member voting No (each of these five vote-records would have a different member with the No-vote). Counting the number of vote-records with two No-votes is the most difficult. One such record is given in the example. We have listed all of them here: YYYNN, YYNYN, YYNNY, YNYYN, YNYNY, YNNYY, NYYYN, NYYNY, NYNYY, and NNYYY, for a total of 10. This makes for a grand total of 1 + 5 + 10 = 16 possible vote-records with more Yes-votes than No-votes.
This three-hour period is really a 3 × 60 = 180-minute period. If the 1500 faxes were spread evenly over the 180 minutes, there would be 1500 ÷ 180 = 8.3 faxes per minute.

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