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There are eleven Senators on the Banking Committee; five of them are Democrats and the other six are Republicans. The Banking Committee must select a
There are eleven Senators on the Banking Committee; five of them are Democrats and the other six are Republicans. The Banking Committee must select a Chair, a Co-Chair, and a Recorder. These offices must all be filled by distinct Senators. How many different ways can the officers be selected with all of them being from the same party (either Democratic or Republican)? How many different ways can the officers be selected if the officers must come from both parties (i.e. they cannot all be from the same party)?
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