After an earthquake, 32 homes in a remote area were checked by public safety officers before nightfall. They found that 22 of the houses had no gas, including 10 houses whose own gas lines were damaged. (A house loses its gas service if it has damage to its own line or if there is damage to the feeder line.) Of those houses that lost their gas, only 4 did not lose their electricity. Twenty-four houses in all had no electricity; the same number of them lost only their electricity as those that both lost electricity and had damage to their gas lines. How many of the houses checked did not lose either gas or electricity, and how many lost only their gas service!

After an earthquake, 32 homes in a remote area were checked by public safety officers before nightfall. They found that 22 of the houses had no gas, including 10 houses whose own gas lines were damaged. (A house loses its gas service if it has damage to its own line or if there is damage to the feeder line.) Of those houses that lost their gas, only 4 did not lose their electricity. Twenty-four houses in all had no electricity; the same number of them lost only their electricity as those that both lost electricity and had damage to their gas lines. How many of the houses checked did not lose either gas or electricity, and how many lost only their gas service!

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter8: Sequences, Series, And Probability

Section8.6: Permutations And Combinations

Problem 2SC: How many different signals can be sent, when three flags are used, if two of the 9 flags are...

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