Posted by kC on Monday, June 7, 2010 at 8:40pm.
First lets look at the number of combinations (order won't matter) to go the 10 steps
Behind it I will then do the number of permutations
2 2 2 2 2 ---- 1
2 2 2 2 1 1 --- 6!/(4!2!) = 15
2 2 2 1 1 1 1 --- 7!/(3!4!) = 35
2 2 1 1 1 1 1 1 --- 8!/(2!6!) = 28
2 1 1 1 1 1 1 1 1 --- 9!/(1!8!) = 9
1 1 1 1 1 1 1 1 1 1 --- 1
total = 1+15+35+28+9+1 = 89
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