SOLUTION: How many different four digit number can be written using the digits 1,2,3,4,5,6,7 and 8 only once such that the number 2 is contained once.

Question 1090200: How many different four digit number can be written using the digits 1,2,3,4,5,6,7 and 8 only once such that the number 2 is contained once.

Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
By contained once I assume you mean used once so the numbers would look like
2xyz, x2yz, xy2z, xyz2 where x,y,z are unique digits not equal to 2.
So then for each case,

There are 4 cases as shown so the total number of digits would be,

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