You’ll want to use nCr or nPr on your calculator for these first three problems. They are very time- consuming to compute by hand. Remember to use nPr when the order matters and nCr when it does not. You will find both commands by pressing the [MATH] key on your calculator and scrolling over to PROB. The factorial (!) is in this list as well. How many different samples of size 35 may be selected from a population of size 120? How many ways can positions 1 through 10 be decided in a 40-car automobile race? A 40-person city council consists of 21 men and 19 women. If the council president randomly selects 10 council members to work on a community outreach project, how likely is she to pick exactly 5 men and 5 women.

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You’ll want to use nCr or nPr on your calculator for these first three problems. They are very time- consuming to compute by hand. Remember to use nPr when the order matters and nCr when it does not. You will find both commands by pressing the [MATH] key on your calculator and scrolling over to PROB. The factorial (!) is in this list as well.

  1. How many different samples of size 35 may be selected from a population of size 120?

  2. How many ways can positions 1 through 10 be decided in a 40-car automobile race?

  3. A 40-person city council consists of 21 men and 19 women. If the council president randomly selects 10 council members to work on a community outreach project, how likely is she to pick exactly 5 men and 5 women. 

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