document.write( "Question 1030177: A manager of a pizza parlor (which operates 7 days a week) allows each of 3 employees to select 1 day off next week. Assuming the selection is done randomly and independently. What is the probability that all three select different days? \n" ); document.write( "
Algebra.Com's Answer #645116 by ikleyn(52803)\"\" \"About 
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\n" ); document.write( "A manager of a pizza parlor (which operates 7 days a week) allows each of 3 employees to select 1 day off next week. Assuming the selection is done randomly and independently. What is the probability that all three select different days?
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document.write( "First  employee can select any of 7 days of a week;\r\n" );
document.write( "second employee can select any of remaining 6 days of a week;\r\n" );
document.write( "third  employee can select any of remaining 5 days of a week.\r\n" );
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document.write( "In all, there are 7*6*5 possibilities to select different days.\r\n" );
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document.write( "The full set of possibilities is \"7%5E3\".\r\n" );
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document.write( "So, the answer is \"%287%2A6%2A5%29%2F7%5E3\" = \"%286%2A5%29%2F7%5E2\" = 0.612245.\r\n" );
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