# SOLUTION: A class contains 7 women and 7 men. Suppose we choose three random students. How many ways can we choose exactly 1 woman? I am very confused with this. I have gotten differen

Algebra ->  Algebra  -> Probability-and-statistics -> SOLUTION: A class contains 7 women and 7 men. Suppose we choose three random students. How many ways can we choose exactly 1 woman? I am very confused with this. I have gotten differen      Log On

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 Click here to see ALL problems on Probability-and-statistics Question 529143: A class contains 7 women and 7 men. Suppose we choose three random students. How many ways can we choose exactly 1 woman? I am very confused with this. I have gotten different ways to solve and different answers for this. Please help. I have to turn this homework in tomorrow.Answer by solver91311(16897)   (Show Source): You can put this solution on YOUR website! It depends. Does the order in which the selection is made make a difference? That is to say is a three student group that is chosen in the order Bill, Tom, and Alice the same or different from one was chosen in the order Tom, Alice, and Bill? Order matters: Number of permutations of 7 things taken 1 at a time TIMES permutations of 7 things taken 2 at a time: Order does not matter: Number of combinations of 7 things taken 1 at a time TIMES the number of combinations of 7 things taken 2 at a time: John My calculator said it, I believe it, that settles it