document.write( "Question 844978: How many three-digit numbers may be formed using the elements from the set {1,2,3,4,5} if no elements may be used more than once in a number and both even and odd elements from the set must be used in each number? \n" ); document.write( "

Algebra.Com's Answer #509042 by ewatrrr(24785) $\"\"$ $\"About$

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document.write( "Hi,
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document.write( "Sorry, got on the track of number of sets..not the number of three digit numbers
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document.write( "Permutations need to used.  Order Important!
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document.write( "How many three-digit numbers may be formed using the elements from the set  {1,2,3,4,5} 
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document.write( "if no elements may be used more than once in a number 
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document.write( "and both even and odd elements from the set must be used in each number
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document.write( "Only one way the three-digit number can contain all even or odd numbers {1,3,5}
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document.write( "3P3 =6 ways the three odds can make a three digit number
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document.write( " All ways 3 digit numbers can be made from {1,2,3,4,5}: 5P3 = 60  
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document.write( " ways when both even and odd elements from the set must be used in each number\r
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