googon97

sorry apparently pressing space 6 times posts it 6 times. 1 2 3 4 5 6 0 0 0 0 0 0 0 1 2 6 12 20 30 42 2 6 16 30 48 70 96 3 12 30 54 84 120 162 4 20 48 84 128 180 240 5 30 70 120 180 250 330 6 42 96 162 240 330 432

x\y 1 2 3 4 5 6 0 -2 -2 -2 -2 -2 1 -1 0 1 -2 -1 0 2 0 -2 0 -2 0 -2 3 1 0 -1 -2 1 0 4 -2 -2 -2 -2 -2 -2 5 -1 0 1 -2 -1 0 6 0 -2 0 -2 0 -2

That is undefined

Using 0's and mathematical operators, create a positive number.

2,4,6,6,6,8,10,12,11,11,? 33,36,39,47,55,72, ? 6,2,5,5,4,5,7,?

I do agree it does say spoons. Very nice, and I thought you had me on that point. But I read the OP again, and sure enough, it says ... You disagree and ask her to replace the spoons and repeat the process, But you get honorable mention anyway. Your solution works except for the red letter. However, if you didn't know how many spoons were taken, would you ask please replace the spoon?

If Googon has a normal garage opener with buttons 0-9 and enter and a code of 3 digits, it takes 3,000 button pushes to ensure the garage to open. Googon's Garage Gadget Guys builds a garage opener with 10 buttons. Googon realizes that there is no room for an enter button (he can't just take out a number 0-9). His garage opener opens if the code is pushed at any time. For example pushing 0123 could open the garage if the code is 012 or 123. Googon is worried that the garage opener is not safe. He needs your help on the issue (seriously he doesn't know the answer). How many times does someone need to push a button to ensure the garage will open? Can you prove that? Is their a pattern to the button pushing?

I'm not sure I follow you there.

I'm not sure I follow you there.