Hi,

Sorry, got on the track of number of sets..not the number of three digit numbers

Permutations need to used.  Order Important!

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

Only one way the three-digit number can contain all even or odd numbers {1,3,5}

3P3 =6 ways the three odds can make a three digit number

 All ways 3 digit numbers can be made from {1,2,3,4,5}: 5P3 = 60  

 ways when both even and odd elements from the set must be used in each number



 

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