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In your weekly family card game, you are playing a game where you are dealt four...

In your weekly family card game, you are playing a game where you are dealt four cards to start the game. How many different hands could you have?

You are part of the math club. Every fall there are elections for the three officer positions: President, Vice President, and Human Calculator. Because math is the best, there are 5,000 students in the club. You can only run for one position and there are 100 students running for President, 150 running for Vice President and 3,000 running for Human Calculator. How many different leadership teams can the math club have?

The UMASS English club also has elections every fall for their officer positions: President, Vice President, and Human Writing Machine. The English club has 7 members and for each position, one of the 7 names is drawn out of a hat. Once you are picked for a position, you cannot be any of the others. How many different leadership teams can the English club have?

math   Statistics-And-Probability   
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