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mr_sarn
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A drunk man staggered 11 footsteps forward and backward 23 Mar 2004, 04:32
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A drunk man staggered 11 footsteps forward and backward before he fell down at a certain point, 5 footsteps ahead his starting point. How many possible ways of his stepping? :o



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A drunk man staggered 11 footsteps forward and backward 23 Mar 2004, 04:49
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Steps forward-F, steps backward-B, F+B=11, F-B=5 so B = 3, F=8, or there is ONLY one possible way, 8 steps forward and 3 backward.
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A drunk man staggered 11 footsteps forward and backward 23 Mar 2004, 06:09
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Adding to BGs answer
Possible ways of stepping = 11! / (8! * 3!)
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A drunk man staggered 11 footsteps forward and backward 23 Mar 2004, 17:33
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The question is weird. Do we consider 11 steps forward and backwards, as only forward and then backwards. He only walked in each direction once? If so, then I agree that there is only one answer. If not then the solution is different. A man starts at point O_ _ _ _ _5 and he ends up at point (5,0) If thats the case then the solution is different.
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A drunk man staggered 11 footsteps forward and backward 23 Mar 2004, 18:26
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F+W = 11
F-W = 5
F= 8 and W= 3
the different patterns of walking are 11!/(8!3!)
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