How to find permutation notation Practice Test - GRE Quantitative Reasoning

A chamber of commerce board has seven total members, drawn from a pool of twenty candidates. There are two stages in the board's election process. First, a president, secretary, and treasurer are chosen. After that, four members are chosen to be “at large” without any specific title or district. How many possible boards could be chosen?

In how many ways can 6 differently colored rose bushes be planted in a row that only has room for 4 bushes?

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