No need for thorough Explanation. The research department of a five-star hotel conducted a survey. It found that among 2230 guests, 1540 tip the front desk officers, 1192 tip the bellboys, 938 tip the maids, 250 tip the maids and the bellboys, 710 tip the front desk officers and the maids, 735 tip the front desk officers and the bellboys, 195 tip all the three personnel.  How many of the surveyed guests tip exactly two of the three services? How many of the surveyed guests tip only the front desk officers? How many of the surveyed guests tip only the three services? How many of the guests do not give tip to any of the services? How many of the surveyed guests tip at least two of the three services?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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No need for thorough Explanation.

The research department of a five-star hotel conducted a survey. It found that among 2230 guests, 1540 tip the front desk officers, 1192 tip the bellboys, 938 tip the maids, 250 tip the maids and the bellboys, 710 tip the front desk officers and the maids, 735 tip the front desk officers and the bellboys, 195 tip all the three personnel. 

  • How many of the surveyed guests tip exactly two of the three services?
  • How many of the surveyed guests tip only the front desk officers?
  • How many of the surveyed guests tip only the three services?
  • How many of the guests do not give tip to any of the services?
  • How many of the surveyed guests tip at least two of the three services?
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