Conditional River Crossing With Wolf, Goat And Cabbage

**Strings (S _{i}P_{j}A_{jk}) = S_{7}P_{3}A_{32} Base Sequence = 12735 String Sequence = 12735 - 6 - 64 **

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Conditional River Crossing With Wolf, Goat And Cabbage

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A wolf, a goat, and a cabbage are to be rowed across a river in a boat holding only one of these three objects besides the oarsman. How should he carry them across so that the goat should not eat the cabbage or the wolf devour the goat?

**The string**:

S_{7}P_{6}A_{64} (Multi-criteria combination).
**The math**:

Pj Problem of Interest is of type *grouping* (Multi-criteria permutation). The oarsman has to group the objects in specific orders so as to meet the constraints.

The above diagram illustrates the trips the oarsman must make inorder to get the objects across the river given the contraints:

(1) He took the goat across the river

(2) He returned alone

(3) He took the wolf across the river

(4) He returned with the goat

(5) He took the cabbage across the river

(6) He returned alone

(7) He took the goat across the river.

The *point* **.** is a mathematical abstraction. It has negligible size and a great sense of position. Consequently, it is front and center in abstract existential reasoning.

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