Consider a group of islands with bridges between them. Suppose that every island has 9 bridges connecting it to other islands. Prove that there exists no group of these islands with exactly 42 bridges.
Consider a group of islands with bridges between them. Suppose that every island has 9 bridges connecting it to other islands. Prove that there exists no group of these islands with exactly 42 bridges.
Chapter9: Sequences, Probability And Counting Theory
Section9.5: Counting Principles
Problem 38SE: Suppose a set A has 2,048 subsets. How many distinct objects are contained in A?
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