17-36 ■ Fundamental Counting Principle These exercises involve the Fundamental Counting Principle
Committee Officers A senate subcommittee consists of ten Democrats and seven Republicans. In how many ways can a chairman, vice chairman, and secretary be chosen if the chairman must be a Democrat and the vice chairman must be a Republican?
The number of ways a chairman, vice chairman, and a secretary can be chosen if the chairman must be a Democrat and the vice chairman must be a Republican.
A senate subcommittee consists of ten Democrats and seven Republicans.
By Fundamental Principle of Counting, If two events occur in order and if the first event can occur in ways and the second can occur can occur in ways (after the first occurred), then the two events can occur in order in ways.
For the position of chairman options are available, for the position of vice chairman options are possible, and for the position of secretary options, as one person can only have one position
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