Let X be the set of all triangles formed from the vertices of the regular hexagon; note that there are the natural action of D6 on the set X. Find the cardinality of each of the indicated orbits: a)Orbit(AFAB) b)Orbit(ADBF) c)Orbit(AEFB) d)Orbit(AAFE) e)Orbit(ACDA) = 20 such triangles. Consider

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A: The correct option is A .i.e. {9, 10, 11, 12, 13, 14, 15}

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Q: 6. Show that the span of this set is all of R?. {}}

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A: the solution is given below

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A: A⊆R clopen if it is both open and closed.  We have to prove that the only clopen sets are ϕ and R

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A: The solution is: