Quandaries
and Queries 

My name is Amanda and I am actually a college Freshman, my prob. and stat. teacher gave us this problem and then figured out he didn't know how to work it.
He says the answer in the teachers manual is 60 but he was not sure how they got that. Is that the answer and if so I did you get it? 

Hi Amanda, Since the first digit can't be 0 you have two choices, 2 or 4. Now you are left with 5 digits 0,2,2,4 and 4 which can go in any of the 5 remaining positions. The number of ways of arranging 5 objects, 2 of one kind, 2 of another kind and 1 of a third kind is Thus the number of 6 digit numbers you can form from ,0,2,2,4,4 if 0 cannot come first is 230=60. Cheers, A second solution, Line out the 6 spots open for the digits:
Next, select the 2 spots where you will put the zeroes:
These have to be
Claude 

