True or False and why? To prove the conjecture that \"If Denver is the capital,

Question

True or False and why?

To prove the conjecture that "If Denver is the capital, then Colorado is the state", it is sufficient to prove that "If Colorado is the state, then Denver is the Capitol." The set of all subsets of a n-set has 2n elements. The principle of inclusion-exclusion requires that the sets A and B should be disjoint in order to find the number of elements in A B. The number of combinations of r objects out of n, r > 1, is fewer than the number of permutations of r objects construct from n objects. Assume n > r. The number of all functions from an n-set to a 2-set is 2n. Let S = {(0), 1} with the relation h = {(1, 1)}. This relation is transitive. Every binary tree with n edges has 2n vertices. Every relation is a function. Any proof done by way of contradiction can be done by way of contraposition.

Explanation / Answer

9 , 10 , 11 , 14 , 16 , 17 - true 12 , 13 , 15 - false most probably , each one is correct :)

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