+118724 Hi Chris,
Great work. I haven't looked through your logic and i have not finished my own solution either.
I am going to do it here, and if I am really lucky my answer will be the same as yours. :)
| FIRST 4 - UNSORTED POSSIBILITIES YYYY 1 WAY YYYZ 4!/3! = 4 WAYS YYZZ 4!/(2!2!) = 6 WAYS YZZZ 4!/(3!) = 4 WAYS ZZZZ 1 WAY
|
LAST 8 POSSIBILITIES XXXXZZZZ 8!/(4!4!) = 70 XXXXZZZY 8!/(4!3!)=280 XXXXZZYY 8!/(4!2!2!)=420 XXXXZYYY 8!/(4!3!)=280 XXXXYYYY 8!/(4!4!)= 70
| TOGETHER 1*70=70 4*280=1120 6*420=2520 4*280=1120 1*70=70
|
Total
$${\mathtt{70}}{\mathtt{\,\small\textbf+\,}}{\mathtt{1\,120}}{\mathtt{\,\small\textbf+\,}}{\mathtt{2\,520}}{\mathtt{\,\small\textbf+\,}}{\mathtt{1\,120}}{\mathtt{\,\small\textbf+\,}}{\mathtt{70}} = {\mathtt{4\,900}}$$
Oh dear - this doesn't look good. Help! Have I done something wrong?
+118724 
