Shortest pathway

Probability Level pending

Calculate the number of shortest pathways from A to B.

30 210 60 24

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1 solution

Wen Jian Wong
May 1, 2014

The shortest path involves 6 steps to the right (we label this as R) and 4 steps downwards ( we label this as D), and we can take the downwards and right steps in any order. Hence, it requires us to arrange the 6 R's and 4D's, so the answer is 10! / (6! x 4!)=210

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