For each of the following, find the number of shortest lattice paths from (4, 4) to...

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For each of the following, find the number of shortest lattice paths from (4, 4) to (14, 14) which: a. pass through the point (11, 10). b. avoid (do not pass through) the point (13, 13). c. either pass through (11, 10) or (13, 13) (or both). For each of the following, find the number of shortest lattice paths from (4, 4) to (14, 14) which: a. pass through the point (11, 10). b. avoid (do not pass through) the point (13, 13). c. either pass through (11, 10) or (13, 13) (or both).