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On-the-modified-chess-board-10-10-Amit-and-Suresh-two-persons-which-start-moving-towards-each-other-Each-person-moving-with-same-constant-speed-Amit-can-move-only-to-the-right-and-upwards-along-t




Question Number 22041 by Tinkutara last updated on 10/Oct/17
On the modified chess board 10 × 10,  Amit and Suresh two persons which  start moving towards each other. Each  person moving with same constant  speed. Amit can move only to the  right and upwards along the lines  while Suresh can move only to the left  or downwards along the lines of the  chess boards. The total number of  ways in which Amit and Suresh can  meet at same point during their trip.
$$\mathrm{On}\:\mathrm{the}\:\mathrm{modified}\:\mathrm{chess}\:\mathrm{board}\:\mathrm{10}\:×\:\mathrm{10}, \\ $$$$\mathrm{Amit}\:\mathrm{and}\:\mathrm{Suresh}\:\mathrm{two}\:\mathrm{persons}\:\mathrm{which} \\ $$$$\mathrm{start}\:\mathrm{moving}\:\mathrm{towards}\:\mathrm{each}\:\mathrm{other}.\:\mathrm{Each} \\ $$$$\mathrm{person}\:\mathrm{moving}\:\mathrm{with}\:\mathrm{same}\:\mathrm{constant} \\ $$$$\mathrm{speed}.\:\mathrm{Amit}\:\mathrm{can}\:\mathrm{move}\:\mathrm{only}\:\mathrm{to}\:\mathrm{the} \\ $$$$\mathrm{right}\:\mathrm{and}\:\mathrm{upwards}\:\mathrm{along}\:\mathrm{the}\:\mathrm{lines} \\ $$$$\mathrm{while}\:\mathrm{Suresh}\:\mathrm{can}\:\mathrm{move}\:\mathrm{only}\:\mathrm{to}\:\mathrm{the}\:\mathrm{left} \\ $$$$\mathrm{or}\:\mathrm{downwards}\:\mathrm{along}\:\mathrm{the}\:\mathrm{lines}\:\mathrm{of}\:\mathrm{the} \\ $$$$\mathrm{chess}\:\mathrm{boards}.\:\mathrm{The}\:\mathrm{total}\:\mathrm{number}\:\mathrm{of} \\ $$$$\mathrm{ways}\:\mathrm{in}\:\mathrm{which}\:\mathrm{Amit}\:\mathrm{and}\:\mathrm{Suresh}\:\mathrm{can} \\ $$$$\mathrm{meet}\:\mathrm{at}\:\mathrm{same}\:\mathrm{point}\:\mathrm{during}\:\mathrm{their}\:\mathrm{trip}. \\ $$

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